Research
(Last updated: March 03, 2019)
A. Publications
İ. Aslan and O. Duman, Summability on Mellin-type nonlinear integral operators, Integral Transform. Spec. Funct. 2019 (accepted for publication).
O. Ocalan and O. Duman, On solutions of the recursive equations x_{n+1}=x_{n-1}^{p}/x_{n}^{p} (p>0) via Fibonacci-type sequences, Electron. J. Math. Anal. Appl. 7 (2019), no. 1, 102-115.
C. Turan and O. Duman, Hardy-type Tauberian conditions on time scales, Mediterr. J. Math. 15 (2018), no. 5, 15:198.
C. Turan and O. Duman, Fundamental properties of statistical convergence and lacunary statistical convergence on time scales, Filomat, 31 (2017), no. 14, 4455-4467.
O. G. Atlihan, M. Unver and O. Duman, Korovkin theorems on weighted spaces: revisited, Periodica Math. Hungar. 75 (2017), no. 2, 201-209.
O. Duman, Singular approximation in polydiscs by summability process, Positivity 20 (2016), no. 3, 663-676.
T. Y. Gökçer and O. Duman, Summation process by max-product operators, in "Computational Analysis", pp. 59-67, Springer Proceedings in Mathematics & Statistics, Springer, New York, 2016.
(Edited-book) G.A. Anastassiou and O. Duman (eds.), Computational Analysis, Springer Proceedings in Mathematics & Statistics, Springer, New York, 2016, 396 p. ISBN 978-3-319-28441-5.
İ. Aslan and O. Duman, Summability process on the Baskakov-type approximation, Periodica Math. Hungar. 72 (2016), no. 2, 186-199.
O. Duman, Nonlinear approximation: q-Bernstein operators of max-product kind, in "Intelligent Mathematics II: Applied Mathematics and Approximation Theory", pp. 33-56, Advances in Intelligent Systems and Computing, Vol. 441, Springer, Heidelberg, 2016.
(Edited-book) G.A. Anastassiou and O. Duman (eds.), Intelligent Mathematics II: Applied Mathematics and Approximation Theory, Advances in Intelligent Systems and Computing, Vol. 441, Springer, Heidelberg, 2016, 502 p. ISBN 978-3-319-30322-2.
M. A. Özarslan and O. Duman, Smoothness properties of modified Bernstein-Kantorovich operators, Numer. Funct. Anal. Optim. 37 (2016), no. 1, 92-105.
N. Küçük and O. Duman, Summability methods in weighted approximation to derivatives of functions, Serdica Math. J. 41 (2015), 355-368.
O. Duman, Summability process by Mastroianni operators and their generalizations, Mediterr. J. Math. 12 (2015), 21-35.
O. Duman, Nonlinear Bernstein-type operators providing a better error estimation, Miskolc. Math. Notes 15 (2014), no. 2, 393-400.
O. Duman, Summability process by singular operators, Publ. Math. Debrecen 85 (2014) 373-386.
(Edited-book) G.A. Anastassiou and O. Duman (eds.), Advances in Applied Mathematics and Approximation Theory, Springer Proceedings in Mathematics & Statistics, Vol. 41, Springer, New York, 2013, 486 p. ISBN: 978-1-4614-6393-1.
C. Turan and O. Duman, Convergence methods on time scales, AIP Conf. Proc. 1558 (2013) 1120-1123.
C. Turan and O. Duman, Statistical convergence on time scales and its characterizations, in "Advances in Applied Mathematics and Approximation Theory", pp. 57-71, Springer Proc. Math. Stat., vol. 41, Springer, New York, 2013.
A.A. Ergür and O. Duman, Generalization of statistical Korovkin theorems, J. Appl. Math. 2013, Article ID 187530, 5 pp.
Z. Ünal, M.A. Özarslan and O. Duman, Approximation properties of real and complex Post-Widder operators based on q-integers, Miskolc. Math. Notes 13 (2012) 581-603.
O. Duman and M. Kester, Statistical approximation by double Poisson-Cauchy singular integral operators, Results Math. 62 (2012) 53-65.
A.D. Gadjiev, O. Duman and A.M. Ghorbanalizadeh, Ideal convergence of k-positive linear operators, J. Funct. Spaces Appl. 2012, Article ID 178316, 12 pp.
(Monograph-book) G.A. Anastassiou and O. Duman, Towards Intelligent Modeling: Statistical Approximation Theory, Intelligent Systems Reference Library, Vol. 14, Springer, Berlin, 2011, 234 pp. ISBN: 978-3-642-19825-0.
O. Duman and E. Erkuş-Duman, Statistical Korovkin-type theory for matrix-valued functions, Studia Sci. Math. Hungar. 48 (2011) 489-508.
H. Aktuğlu, M.A. Özarslan and O. Duman, Matrix summability methods on the approximation of multivatiate q-MKZ operators, Bull. Malaysian Math. Sci. Soc. 34 (2011) 465-474.
A. Aral and O. Duman, A Voronovskaya-type formula for SMK operators via statistical convergence, Math. Slovaca 61 (2011) 235-244.
M. Burgin and O. Duman, Approximations by linear operators in spaces of fuzzy continuous functions, Positivity 15 (2011) 57-72.
M.A. Özarslan, O. Duman and N.I. Mahmudov, Local approximation properties of modified Baskakov operators, Results Math. 59 (2011) 1-11.
G.A. Anastassiou and O. Duman, Statistical Lp-convergence of double smooth Picard singular integral operators, J. Comput. Anal. Appl. 13 (2011) 167-187.
O. Duman and M.A. Özarslan, Global approximation results for modified Szasz-Mirakjan operators, Taiwanese J. Math. 15 (2011) 75-86.
G.A. Anastassiou and O. Duman, Statistical approximation by double complex Gauss-Weierstrass integral operators, Appl. Math. Lett. 24 (2011) 438-443.
E. Erkuş-Duman and O. Duman, Statistical approximation properties of high order operators constructed with the Chan-Chyan-Srivastava polynomials, Appl. Math. Comput. 218 (2011) 1927-1933.
M. Burgin and O. Duman, Approximate fuzzy continuity of functions, Internat. J. Fuzzy Syst. Appl. 1 (2011) 37-46.
O. Duman, Statistical fuzzy approximation to fuzzy differentiable functions by fuzzy linear operators, Hacet. J. Math. Stat. 39 (2010) 497-514.
M.A. Özarslan and O. Duman, Local approximation behavior of modified SMK operators, Miskolc Math. Notes 11 (2010) 87-99.
O. Duman, Statistical convergence of max-product approximating operators, Turkish J. Math. 34 (2010) 501-514.
F. Dirik, O. Duman and K. Demirci, Approximation in statistical sense to B-continuous functions by positive linear operators, Studia Sci. Math. Hungar. 47 (2010) 289-298.
M.A. Özarslan and O. Duman, Global approximation properties of modified SMK operators, Filomat 24 (2010) 47-61.
S. Karakuş, K. Demirci and O. Duman, Statistical approximation by positive linear operators on modular spaces, Positivity 14 (2010) 312-334.
G.A. Anastassiou and O. Duman, Statistical convergence of double complex Picard integral operators, Appl. Math. Lett. 23 (2010) 852-858.
M.A. Özarslan, O. Duman and C. Kaanoğlu, Rates of convergence of certain King-type operators for functions with derivative of bounded variation, Math. Comput. Modelling 52 (2010) 334-345.
G.A. Anastassiou and O. Duman, Statistical Korovkin theory for multivariate stochastic processes, Stoch. Anal. Appl. 28 (2010) 648-661.
O. Duman, Fuzzy approximation based on statistical rates, Publ. Math. Debrecen 76 (2010) 453-463.
G.A. Anastassiou and O. Duman, Statistical Lp approximation by double Gauss-Weierstrass singular integral operators, Comput. Math. Appl. 59 (2010) 1985-1999.
O. Duman, M.A. Özarslan and E. Erkuş-Duman, Rates of ideal convergence for approximation operators, Mediterr. J. Math. 7 (2010) 111-121.
O. Duman and M. Gürcan, Some characterizations on statistical convergence of expected values of random variables, J. Math. Anal. 1 (2010) 1-8.
G.A. Anastassiou and O. Duman, Uniform approximation in statistical sense by double Gauss-Weierstrass singular integral operators, Nonlinear Funct. Anal. Appl. 15 (2010) 487-502.
V. Gupta and O. Duman, Bernstein-Durrmeyer type operators preserving linear functions, Mat. Vesnik 62 (2010) 259-264.
G.A. Anastassiou and O. Duman, Fractional trigonometric Korovkin theory in statistical sense, Serdica Math. J. 36 (2010) 121-136.
M. Bohner and O. Duman, Opial-type inequalities for diamond-alpha derivatives and integrals on time scales, Differ. Equ. Dyn. Syst. 18 (2010) 229-237.
G.A. Anastassiou and O. Duman, Statistical approximation by double Picard singular integral operators, Studia Univ. Babes-Bolyai Math. 55 (2010), 3-20.
M. Burgin and O. Duman, Fuzzy approximate continuity, J. Intell. Fuzzy Systems 20 (2009) 225-233.
O. Duman, Strong versions of the theorems of Weierstrass, Montel and Hurwitz, Hacet. J. Math. Stat. 38 (2009) 153-159.
F. Dirik, O. Duman and K. Demirci, Statistical approximation to Bögel-type continuous and periodic functions, Cent. Eur. J. Math. 7 (2009) 539-549.
O. Duman and H. Merdan, Stability analysis of continuous population model involving predation and Allee effect, Chaos Solitons Fractals 41 (2009) 1218-1222.
M.A. Özarslan and O. Duman, Approximation theorems by Meyer-König and Zeller type operators, Chaos Solitons Fractals 41 (2009) 451-456.
O. Duman, M.A. Özarslan and B. Della Vecchia, Modified Szasz-Mirakjan-Kantorovich operators preserving linear functions, Turkish J. Math. 33 (2009) 151-158.
C. Çelik and O. Duman, Allee effect in a discrete-time predator-prey system, Chaos Solitons Fractals 40 (2009) 1956-1962.
H. Merdan and O. Duman, On the stability analysis of a general discrete-time population model involving predation and Allee effects, Chaos Solitons Fractals 40 (2009) 1169-1175.
G.A. Anastassiou and O. Duman, High order statistical fuzzy Korovkin theory, Stoch. Anal. Appl. 27 (2009) 543-554
H. Merdan, O. Duman, Ö. Akın and C. Çelik, Allee effects on population dynamics in continuous (overlapping) case, Chaos Solitons Fractals 39 (2009) 1994-2001.
G.A. Anastassiou, O. Duman and E. Erkuş-Duman, Statistical approximation for stochastic processes, Stoch. Anal. Appl. 27 (2009) 460-474.
G.A. Anastassiou and O. Duman, Statistical weighted approximation to derivatives of functions by linear operator, J. Comput. Anal. Appl. 11 (2009) 20-30.
Ö. Ocalan and O. Duman, Oscillation analysis of neutral difference equations with delays, Chaos Solitons Fractals 39 (2009) 261-270.
G.A. Anastassiou and O. Duman, On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations, J. Comput. Anal. Appl. 11 (2009) 7-19
G.A. Anastassiou and O. Duman, Fractional Korovkin theory based on statistical convergence, Serdica Mathematical Journal 35 (2009) 381-396
M.A. Özarslan and O. Duman, A new approach in obtaining a better estimation in approximation by positive linear operators, Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat. 58 (2009) 17-22.
G.A. Anastassiou and O. Duman, Statistical approximation to periodic functions by a general class of linear operators, J. Concr. Appl. Math. 7 (2009) 200-207.
M. Burgin and O. Duman, Properties of fuzzy statistical limits, J. Intell. Fuzzy Systems 19 (2008) 385-392.
M.A. Özarslan and O. Duman, Approximation properties of Poisson integrals for orthogonal expansions, Taiwanese J. Math. 12 (2008) 1147-1163.
M.A. Özarslan, O. Duman and H.M. Srivastava, Statistical approximation results for Kantorovich-type operators involving some special functions, Math. Comput. Modelling 48 (2008) 388-401.
O. Duman, A-Statistical convergence of sequences of convolution operators, Taiwanese J. Math. 12 (2008) 523-536.
M. Burgin and O. Duman, Statistical fuzzy convergence, Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 16 (2008) 879-902.
O. Duman and C. Orhan, Rates of A-statistical convergence of operators in the space of locally integrable functions, Appl. Math. Lett. 21 (2008) 431-435.
C. Çelik, H. Merdan, O. Duman and Ö. Akın, Allee effects on population dynamics with delay, Chaos Solitons Fractals 27 (2008) 65-74.
E. Erkuş-Duman and O. Duman, Integral-type generalizations of operators obtained from certain multivariate polynomials, Calcolo 45 (2008) 53-67.
M.A. Özarslan and O. Duman, Local approximation results for Szasz-Mirakjan type operators, Arch. Math. (Basel) 90 (2008) 144-149.
O. Duman and G.A. Anastassiou, On statistical fuzzy trigonometric Korovkin theory, J. Comput. Anal. Appl. 10 (2008) 333-344.
G.A. Anastassiou and O. Duman, A Baskakov type generalization of statistical Korovkin theory, J. Math. Anal. Appl. 340 (2008) 476-486.
O. Duman, M.A. Özarslan and H. Aktuğlu, Better error estimation for Szasz-Mirakjan-Beta operators, J. Comput. Anal. Appl. 10 (2008) 53-59.
S. Karakuş, K. Demirci and O. Duman, Equi-statistical convergence of positive linear operators, J. Math. Anal. Appl. 339 (2008) 1065-1072.
G.A. Anastassiou and O. Duman, Statistical fuzzy approximation by fuzzy positive linear operators, Comput. Math. Appl. 55 (2008) 573-580.
S. Karakus, K. Demirci and O. Duman, Statistical convergence on intuitionistic fuzzy normed spaces, Chaos Solitons Fractals 35 (2008) 763-769.
O. Duman and M.A. Özarslan, Szasz-Mirakjan type operators providing a better error estimation, Appl. Math. Lett. 20 (2007) 1184-1188.
B. Della Vecchia and O. Duman, Weighted approximation by Meyer-König and Zeller type operators, Studia Sci. Math. Hungar. 44 (2007) 445-467.
M.A. Özarslan and O. Duman, MKZ type operators providing a better estimation on [1/2,1), Canadian Math. Bull. 50 (2007) 434-439.
O. Duman, Regular matrix transformations and rates of convergence of positive linear operators, Calcolo 44 (2007) 159-165.
O. Duman, Korovkin type approximation theorems via I-convergence, Czechoslovak Math. J. 57 (2007) 367-375.
O. Duman, Higher order generalization of positive linear operators defined by a class of Borel measures, Turkish J. Math. 31 (2007) 333-339.
O. Duman and E. Erkuş, Approximation of continuous periodic functions via statistical convergence, Comput. Math. Appl. 52 (2006) 967-974.
E. Erkuş, O. Duman and H.M. Srivastava, Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials, Appl. Math. Comput. 182 (2006) 213-222.
O. Duman, E. Erkuş and V. Gupta, Statistical rates on the multivariate approximation theory, Math. Comput. Modelling 44 (2006) 763-770.
O. Duman, Statistical approximation theorems by k-positive linear operators, Arch. Math. (Basel) 86 (2006) 569-576.
O. Duman, M.A. Özarslan and O. Doğru, On integral type generalizations of positive linear operators, Studia Math. 174 (2006) 1-12.
O. Doğru and O. Duman, Statistical approximation of Meyer König and Zeller operators based on q-integers, Publ. Math. Debrecen 68 (2006) 199-214.
E. Erkuş and O. Duman, A Korovkin type approximation theorem in statistical sense, Studia Sci. Math. Hungar. 43 (2006) 285-294.
O. Duman and C. Orhan, An abstract version of the Korovkin approximation theorem, Publ. Math. Debrecen 69 (2006) 33-46.
M.A. Özarslan, O. Duman and O. Doğru, A-Statistical convergence for a class of positive linear operators, Rev. Anal. Numér. Théor. Approx. 35 (2006) 161-172.
E. Erkuş and O. Duman, A-statistical extension of the Korovkin type approximation theorem, Proc. Indian Acad. Sci. Math. Sci. 115 (2005) 499-508.
M.A. Özarslan, O. Duman and O. Doğru, Rates of A-statistical convergence of approximating operators, Calcolo 42 (2005) 93-104.
O. Duman and C. Orhan, Rates of A-statistical convergence of positive linear operators, Appl. Math. Lett. 18 (2005) 1339-1344.
O. Duman, The effects of matrix summability methods on bounds of function sequences, Appl. Math. Lett. 17 (2004) 1221-1229.
O. Duman and C. Orhan, Statistical approximation by positive linear operators, Studia Math. 161 (2004) 187-197.
O. Duman and C. Orhan, Mu-Statistically convergent function sequences, Czechoslovak Math. J. 54 (2004) 413-422.
O. Duman and C. Orhan, Statistical approximation in the space of locally integrable function, Publ. Math. Debrecen 63 (2003) 133-144.
O. Duman, M.K. Khan and C. Orhan, A-statistical convergence of approximatig operators, Math. Inequal. Appl. 6 (2003) 689-699.
O. Doğru, O. Duman and C. Orhan, Statistical approximation by generalized Meyer-König and Zeller type operators, Studia Sci. Math. Hungar. 40 (2003) 359-371.
O. Duman, Statistical approximation for periodic functions, Demonstratio Math. 36 (2003) 873-878.
B. Projects
O. Duman, Statistical approximation of linear operators by means of summability theory, Principle Investigator, TUBITAK 1002 Project, No: 108T229, 15 May 2008 - 15 May 2009.
C. Orhan and O. Duman, Statistically Convergent Function Sequences, Investigator, TUBITAK BAYG Project, 15 September 1998 - 15 September 2002.
C. Invited Talks
"Lineer olmayan operatörlerle fonksiyonlara yaklaşım ve toplanabilme", Mersin Üniversitesi, Matematik Bölümü, 26 Ekim 2018.
"Summability methods in singular approximation", Çankaya University, Department of Mathematics, Ankara-Turkey, November 09, 2016.
"Iraksak seriler, toplanabilme ve Hardy", Doğu Akdeniz Üniversitesi, Matematik Bölümü, Gazimagosa, KKTC, Mart 20, 2015.
"Toplanabilme teorisinin yaklaşımlar teorisi üzerindeki etkileri", Anadolu Üniversitesi, Eskişehir-Türkiye, Mayıs 23, 2013.
"Yaklaşımlar teorisinde yeni yaklaşım tekniklerinin ihtiyacı", TÜBA Konferansları, Karabük Üniversitesi, Karabük-Türkiye, Nisan 26, 2013.
"Convergence methods in approximation theory", Bilkent University, Ankara-Turkey, November 16, 2011.
"Recent developments in approximation theory", TOBB University of Economics and Technology, Ankara-Turkey, October 12, 2011.
"Recent improvements on statistical approximation theory", İzmir University of Economics, İzmir-Turkey, April 26, 2010.
"Uniform statistical approximation by double Gauss-Weierstrass singular integral operators", Gazi University, Ankara-Turkey, November 06, 2009.
"A Baskakov type generalization of statistical Korovkin theory", Ankara University, Ankara-Turkey, April 15, 2009.
"Statistical convergence and Korovkin-type approximation theory", International Conference on Mathematical Analysis, Differential Equations and Their Applications, Eastern Mediterranean University, Famagusta-North Cyprus, September 12-15, 2008.
"On relaxing the positivity condition of linear operators in statistical Korovkin-type approximations", Ankara University, Ankara-Turkey, April 30, 2008
"Allee effects on population dynamics", Çankaya University, Nano-Science and Research Center, Ankara-Turkey, December 27, 2007.
"Approximation properties of positive linear operators", Çankaya University, Ankara-Turkey, December 15, 2006.
"Statistical approximation by positive linear operators", Middle East Technical University, Ankara-Turkey, March 24, 2005.
"A-statistical convergence of approximating operators", Ankara University, Ankara-Turkey, May 20, 2004
D. International / National Contributed Talks
İ. Aslan and O. Duman, Summability method in the approximation by nonlinear integral operators in N-dimension BV-space, "The 7th International Conference on Pure and Applied Mathematics - ICPAM 2018", Eötvös Lorand University, Budapest, Hungary, July 10-13, 2018.
T. Y. Gökçer and O. Duman, Some convergence methods on max-min operators, "The 7th International Conference on Pure and Applied Mathematics - ICPAM 2018", Eötvös Lorand University, Budapest, Hungary, July 10-13, 2018.
İ. Aslan and O. Duman, Approximation by nonlinear integral operators with the help of summation methods, "The International Society for Analysis, its Applications and Computation - ISAAC 2017", Linnaeus University, Vaxjo, Sweden, August 14-18, 2017.
T. Y. Gokcer and O. Duman, Some convergence methods on pseudo linear operators, "The International Society for Analysis, its Applications and Computation - ISAAC 2017", Linnaeus University, Vaxjo, Sweden, August 14-18, 2017.
C. Türkün and O. Duman, Neural network approximation in summation process, "The International Society for Analysis, its Applications and Computation - ISAAC 2017", Linnaeus University, Vaxjo, Sweden, August 14-18, 2017.
T. Y. Gokcer and O. Duman, On the approximation by max-min and max-product operators, "International Conference on Mathematics and Mathematics Education - ICMME 2017", Harran University, Şanlıurfa, Turkey, May 11-13, 2017.
İ. Aslan and O. Duman, Summability process on the approximation by nonlinear integral operators of convolution type, "International Conference on Mathematics and Mathematics Education - ICMME 2017", Harran University, Şanlıurfa, Turkey, May 11-13, 2017.
T. Y. Gokcer and O. Duman, Summation Process in Approximation by Nonlinear Operators, "Emerging Trends in Applied Mathematics and Mechanics – ETAMM 2016", Perpignan, France, May 30 - June 03, 2016.
C. Turan and O. Duman, Hardy Type Tauberian Condition on Time Scales, "Emerging Trends in Applied Mathematics and Mechanics – ETAMM 2016", Perpignan, France, May 30 - June 03, 2016.
İ. Aslan and O. Duman, A Generalized Version of the Korovkin Theory, "Emerging Trends in Applied Mathematics and Mechanics – ETAMM 2016", Perpignan, France, May 30 - June 03, 2016.
T. Y. Gokcer and O. Duman, Summation process by max-product operators, "3rd International Conference on Applied Mathematics and Approximation Theory - AMAT 2015", Ankara, Turkey, May 28-31, 2015.
C. Turan and O. Duman, On convergence methods of functions defined on time scales, "International Conference on Recenet Developments in Pure and Applied Mathematics - ICRAPAM 2014", Antalya, Turkey, November 06-09, 2014.
İ. Aslan and O. Duman, Application of summability process on Baskakov-type approximation theory, "International Conference on Recenet Developments in Pure and Applied Mathematics - ICRAPAM 2014", Antalya, Turkey, November 06-09, 2014.
C. Turan and O. Duman, Recent developments on convergence methods on time scales, “International Conference: Mathematics Days in Sofia - MDS 2014", Sofia, Bulgaria, July 07-10, 2014.
İ. Aslan and O. Duman, Summability process on the Baskakov-type approximation theory, “International Conference: Mathematics Days in Sofia - MDS 2014", Sofia, Bulgaria, July 07-10, 2014.
N. Küçük and O. Duman, Summability methods in the weighted approximation to derivatives of functions, “International Conference: Mathematics Days in Sofia - MDS 2014", Sofia, Bulgaria, July 07-10, 2014.
C. Turan and O. Duman, Convergence methods on time scales, "11th International Conference of Numerical Analysis and Applied Mathematics - ICNAAM 2013", Rhodes Island, Greece, September 21-27, 2013.
O. Duman, Summability process by Mastroianni operators, "26th. National Mathematics Symposium, Diyarbakır, Turkey, September 4-7, 2013.
C. Turan and O. Duman, Statistical convergence on time scales, "International Conference on Applied Mathematics and Approximation Theory - AMAT 2012", Ankara, Turkey, May 17-20, 2012.
O. Duman and E. Erkuş-Duman, Approximation by matrix-valued linear positive operators, "Conference on Matrix Analysis and its Applications - MAT TRIAD 2011", Tomar, Portugal, July 12-16, 2011.
O. Duman, Statistical approximation by double Picard singular integral operators, "4th Ankara Mathematics Days", METU, Ankara, Turkey, June 04-05, 2009.
O. Duman, Stability analysis of population dynamics under Allee effects (poster presentation), "International Workshop on New Trends in Science and Technology", Çankaya University, Ankara, Turkey, November 03-04, 2008.
O. Duman, Statistical convergence and Korovkin-type approximation theory, "Mathematical Analysis, Differential Equations and Their Applications", Eastern Mediterranean University, Famagusta, North Cyprus, September 12-15, 2008.
O. Duman, A new approach in obtaining a better estimation in the approximation by positive linear operators, "3rd Ankara Mathematics Daysi", Ankara University, Ankara, Turkey, May 22-23, 2008.
O. Duman and E. Erkuş-Duman, Statistical approximation to continuous periodic functions by means of positive linear operators, "2nd Turkish World Mathematics Symposium", Sakarya University, Sakarya, Turkey, July 04-07, 2007.
O. Duman, Stability analysis of delay population dynamics under Allee effects, "TASSA Conference", Yale University, New Haven-USA, March 24-25, 2007.
O. Duman and M.A. Özarslan, MKZ type positive linear operators providing a better error estimation, "19th National Mathematics Symposium", Kütahya, Turkey, August 22-25, 2006.
O. Duman and C. Orhan, Rates of A-statistical convergence of positive linear operators, "Fejer-Riesz Conference", Eger, Hungary, June 09-13, 2005.
E. Organizations
Minisymposium Co-Organizer: “Approximation Theory and Special Functions - 5th series” in the International Conference: "The 7th International Conference on Pure and Applied Mathematics - ICPAM 2018", Eötvös Lorand University, Budapest, Hungary, July 10-13, 2018.
Conference Chair: "13th Ankara University, Ankara, Turkey - AMG 2018", TOBB ETU, Ankara, Turkey, April 27-28, 2018.
Minisymposium Co-Organizer: “Approximation Theory and Special Functions - 4th series” in the International Conference: "The International Society for Analysis, its Applications and Computation - ISAAC 2017", Linnaeus University, Vaxjo, Sweden, August 14-18, 2017.
Member of Organizing Committee: "12th Ankara Matematics Days - AMG2017", Hacettepe University, May 25-26, 2017.
Member of International Scientific Committee: "International Workshop on Mathematical Methods in Engineering - MME 2017", Çankaya University, Ankara, Turkey, April 27-29, 2017.
Minisymposium Co-Organizer: “Approximation Theory and Special Functions - 3rd series” in the International Conference: "Emerging Trends in Applied Mathematics and Mechanics – ETAMM 2016", Perpignan, France, May 30 - June 03, 2016.
Member of Organizing Committee: "11th Ankara Matematics Days - AMG 2016", Ankara University, May 26-27, 2016.
Member of Scientific Committee: "10th Ankara Matematics Days - AMG 2015", Middle East Technical University, June 11-12, 2015.
Conference Co-Chair: "3rd International Conference on Applied Mathematics and Approximation Theory - AMAT 2015", TOBB ETU, Ankara, Turkey, May 28-31, 2015.
Minisymposium Co-Organizer: "Approximation Theory and Special Functions - 2nd Series" within "International Conference: Mathematics Days in Sofia - MDS 2014", Sofia, Bulgaria, July 07-10, 2014.
Member of Scientific Committee: "9th Ankara Matematics Days - AMG 2014", Atılım University, Ankara, Turkey, June 12-13, 2014.
Minisymposium Co-Organizer: "Approximation Theory and Special Functions - 1st Series" within "11th International Conference of Numerical Analysis and Applied Mathematics - ICNAAM 2013", Rhodes Island - Greece, September 21-27, 2013.
Member of Scientific Committee: "8th Ankara Matematics Days - AMG 2013", Hacettepe University, Ankara, Turkey, June 13-14, 2013.
Member of Scientific Committee: "7th Ankara Matematics Days - AMG 2012", Bilkent University, Ankara, Turkey, May 31 - June 01, 2012.
Conference Chair: "International Conference on Applied Mathematics and Approximation Theory - AMAT 2012", TOBB ETU, Ankara, Turkey, May 17-20, 2012.
Conference Chair: "5th Ankara University, Ankara, Turkey - AMG 2010", TOBB ETU, Ankara, Turkey, June 03-04, 2010.
Member of Scientific Committee: "International Workshop on New Trends in Science and Technology", Cankaya University, Ankara, Turkey, November 03-04, 2008.
Member of Organizing Committee: "1. Üstün Yetenekli Çocuklan Kongresi", İstanbul, Turkey, September 23-25, 2004.