Education
 Ph.D.
: Ankara University (1998-2003)
 M.S.
: Ankara University (1996-1998)
 B.S.
: Ankara University (1992-1996)
Academic Degrees
 Full Professor
 Associate Professor
 Assistant Professor
 Research Assistant
: TOBB ETU (2010-…)
: TOBB ETU (2005-2010)
: TOBB ETU (2004-2005)
: Ankara University (1997-2003)
Reserach Areas
 Statistical convergence and its applications (40A35; 40G15)
 Korovkin-type approximation theory (41A35; 41A36)
 Rates of convergence (41A25)
 Approximation in the complex domain (30E10)
Awards and Honors
 Associate Member of TUBA (The Turkish Academy
of Sciences [2012 - …]
 Research Reward Dedicated to "Professor M. Gündüz İkeda"
[Math. Foundation, METU, Ankara, 2005]
DUMAN
OKTAY
OKTAYDUMAN
TOBB Economics and Technology University
Department of Mathematics
Söğütözü TR-06530, Ankara, Turkey
E-Mail: [email protected]
[email protected]
Website: http://oduman.etu.edu.tr/
University
yazın]  [E-posta
and Technology
yazın]  [Telefon
numaranızı
[Adresinizi
TOBB Economics
 [email protected]
adresinizi yazın] [email protected]
OKTAY DUMAN
Full Professor of Math.
Date of Birth: July 23, 1975
27.6.2014
Editorial
 Reviewer
: AMS-Mathematical Reviews
 Editorial Board : Journal of Computational Analysis and Applications
Journal of Concrete and Applicable Mathematics
Journal of Applied Functional Analysis
Journal of Mathematical Analysis
Professional Memberships
 The Mathematical Association of America - MAA (2006-...)
 American Mathematical Society - AMS (2004-...)
Refereeing
 J. Approx. Theory (SCI)
 J. Comput. Appl. Math. (SCI)
 Appl. Math. Lett. (SCI)
 Comput. Math. Appl. (SCI)
 Fuzzy Sets and Systems (SCI)
 Taiwanese J. Math. (SCI)
 Internat. J. Bifur. Chaos (SCI)
 J. Comput. Physics (SCI)
 Math. Inequal. Appl. (SCI-Expanded)
 Math. Slovaca (SCI-Expanded)
 Math. Comput. Modelling (SCI-Expanded)
 Rocky Mountain J. Math. (SCI-Expanded)
 Studia Sci. Math. Hungar. (SCI-Expanded)
 Positivity (SCI-Expanded)
 Miskolc Math. Notes (SCI-Expanded)
 Information Sciences (SCI-Expanded)
 Appl. Math. Comput (SCI-Expanded)
 J. Inequal. Appl. (SCI-Expanded)
 Abst. Appl. Anal. (SCI-Expanded)
 Math. Model. Anal. (SCI-Expanded)
 Turkish J. Math. (SCI-Expanded)
 Iran. J. Fuzzy Syst. (SCI-Expanded)
 Hacettepe J. Math. Stat. (SCI-Expanded)
 Math. Commun. (SCI-Expanded)
 Discrete Dynam Nat. Soc. (SCI-Expanded)
 J. Appl. Math. (SCI-Expanded)
 Indian J. Pure and Appl. Math. (SCI-Expanded)
 Acta Math. Appl. Sinica (AMS-MR)
 Internat. J. Math. Math. Sci. (AMS-MR)
 Comput. Lett. (AMS-MR)
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27.6.2014
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J. Math. Control Sci. Appl. (AMS-MR)
Kyungpook Math. J. (AMS-MR)
Assian Bull. Math. (AMS-MR)
J. Appl. Anal. (AMS-MR)
Pakistan J. Statist. (AMS-MR)
Appl. Math. Inf. Sci. (AMS-MR)
Demonstratio Math. (AMS-MR)
J. Reliability Stat. Stud. (AMS-MR)
Int. J. Biomath. (AMS-MR)
Appl. Math. Inform. Sci. (AMS-MR)
Selcuk J. Appl. Math. (AMS-MR)
Gazi Univ. J. Sci. (AMS-MR)
Commun. Fac. Sci. Univ. Ankara (AMS-MR)
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, E. Bayram, O. Duman and M. Adıvar, Statistically
Convergent Function Sequences, Investigator, TUBITAK BAYG
Project, 15 September 1998 - 15 September 2002.
Graduate Students
 Ceylan Turan
 İsmail Aslan
 Nisa Küçük
 Engin Sarı
 Ceylan Turan
 Alperen Ali Ergür
 Merve Kester
(TOBB ETU, Ph.D., 2012 - …)
(TOBB ETU, M.S., 2013 - …)
(TOBB ETU, M.S., 2013 - …)
(TOBB ETU, M.S., 2013 - …)
(TOBB ETU, M.S., 2012)
(TOBB ETU, M.S., 2011)
(TOBB ETU, M.S., 2011)
Administirative Duties in the University
 Vice Dean of Faculty of Arts and Sciences in TOBB ETU (2013-…)
 Member of Administirative Board of Faculty of Arts and Sciences in
TOBB ETU (2012-…)
 Member of Administirative Board of Faculty of Arts and Sciences in
TOBB ETU (2007-2010)
 Vice President of the Dept. of Math. in TOBB ETU (2006-2008)
Administirative Duties in Conferences
 Co-Chair of Minisymposium: “Approximation Theory and Special
Functions” in the 11th International Conference of Numerical Analysis
and Applied Mathematics – ICNAAM 2013, Rhodes, Greece, 21-27
September, 2013.
3
27.6.2014
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Member of Scientific Committee: “8th Ankara Mathematics Days”,
Hacettepe Üniversity, June 13-14, 2013.
Member of Scientific Committee: “7th Ankara Mathematics Days”,
Bilkent Üniversity, May 31 – June 01, 2012.
Conference Chair: “International Conference on Applied Mathematics
and Approximation Theory – AMAT 2012”, TOBB ETU, AnkaraTurkey, May 17-20, 2012.
Conference Chair: “5th Ankara Mathematics Days”, TOBB ETU,
Ankara-Turkey, June 03-04, 2010.
Member of Scientific Committee: “International Workshop on New
Trends in Science and Technology”, Çankaya University, AnkaraTurkey, November 03-04, 2008.
Member of Organizing Committee: “1. Üstün Yetenekli Çocuklar
Kongresi”, İstanbul-Turkey, September 23-25, 2004.
Courses Taught
 Approximation Theory (graduate)
 Functions Theory (graduate)
 Real Analysis I (graduate)
 Real Analysis II (graduate)
 Functional Analysis (undergraduate)
 Advanced Analysis I-II (undergraduate)
 Complex Functions Theory I-II (undergraduate)
 Measure Theory (undergraduate)
 Complex Analysis (undergraduate)
 Introduction to Analysis I-II (undergraduate)
 Calculus I-II (undergraduate)
Invited Talks
 O. Duman, Toplanabilme teorisinin yaklaşımlar teorisi üzerindeki
etkileri, Anadolu Üniversitesi, Matematik Bölümü, Eskişehir-Türkiye,
23 Mayıs 2013.
 O. Duman, Yaklaşımlar teorisinde yeni yaklaşım tekniklerinin ihtiyacı,
TÜBA Konferansı, Karabük Üniversitesi, Matematik Bölümü,
Karabük-Türkiye, 26 Nisan 2013.
 O. Duman, Convergence methods in approximation theory, Bilkent
University, Department of Mathematics, Ankara-Turkey, November
16, 2011.
 O. Duman, Recent developments in approximation theory, TOBB
Economics and Technology University, Department of Mathematics,
Ankara -Turkey, October 12, 2011.
 O. Duman, Recent improvements on statistical approximation theory,
Izmir University of Economics, Department of Mathematics, İzmirTurkey, April 26, 2010.
4
27.6.2014
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O. Duman, Uniform statistical approximation by double GaussWeierstrass singular integral operators, Gazi University, Department
of Mathematics, Ankara-Turkey, November 06, 2009.
O. Duman, A Baskakov type generalization of statistical Korovkin
theory, Ankara University, Department of Mathematics, AnkaraTurkey, April 15, 2009.
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, On relaxing the positivity condition of linear operators in
statistical Korovkin-type approximations, Ankara University,
Department of Mathematics, Ankara-Turkey, April 30, 2008.
O. Duman, Allee effects on population Dynamics, Çankaya University,
Nano-Science and Research Center, Ankara-Turkey, December 27,
2007.
O. Duman, Approximation properties of positive linear operators,
Çankaya University, Department of Mathematics and Computer
Science, Ankara-Turkey, December 15, 2006
O. Duman, Statistical approximation by positive linear operators,
Middle East Technical University, Department of Mathematics,
Ankara-Turkey, March 24, 2005.
O. Duman, A-statistical convergence of approximating operators,
Ankara University, Department of Mathematics, Ankara-Turkey, May
20, 2004.
International/National Contributed Talks
 C. Turan and O. Duman, Convergence methods on time scales, “11th
International Conference of Numerical Analysis and Applied
Mathematics – ICNAAM 2013, Rhodes, Greece, September 21-27,
2013.
 O. Duman, Summability process by Mastoianni operators, “26 th
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”, TOBB ETU, 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.
 G.A. Anastassiou and O. Duman, Statistical approximation by double
Picard singular integral operators, “4th Ankara Mahematics Days”,
METU, Ankara-Turkey, June 04-05, 2009.
5
27.6.2014
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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 Mahematics
Days”, METU, 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 (poster presentation), “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.
Citation Report (ISI Web of Science)
 Sum of the papers published: 78
 Sum of the times cited: 617
 Sum of the times cited without self citations: 412
 Citing articles: 251
 Citing articles without self-citations: 188
 Average citations per item: 7.91
 h-index: 14
PUBLICATIONS
A. Books:
1.
[EDITED-BOOK] G.A. Anastassiou and O. Duman (eds.), Advaces
in Applied Mathematics and Approximation Theory, Springer
Proceedings in Mathematics & Statistics, Vol. 41, Springer, New
York, 2013 (486 p.)
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27.6.2014
2.
[MONOGRAPH-BOOK] G.A. Anastassiou and O. Duman,
Towards Intelligent Modeling: Statistical Approximation Theory,
Intelligent Systems Reference Library, Vol. 14, Springer, Berlin,
2011 (234 p.)
B. Articles:
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
O. Duman, Nonlinear Bernstein-type operators providing better
error estimation, Miskolc. Math. Notes (accepted for publication).
(SCI-Expanded)
O. Duman, Summability process by Mastroianni operators and
their generalizations, Mediterr. J. Math. (accepted for publication).
(SCI-Expanded)
O. Duman, Summability process by singular operators, Publ. Math.
Debrecen (accepted for publication). (SCI-Expanded)
C. Turan and O. Duman, Convergence methods on time scales, AIP
Conf. Proc. 1558 (2013) 1120-1123. (SCI-Expanded)
C. Turan and O. Duman, Statistical convergence on time scales and
its characterizations, Advances in Applied Mathematics and
Approximation Theory, Springer Proc. Math. Stat. 41 (2013) 57-71.
(AMS-MR)
A.A. Ergür and O. Duman, Generalization of statistical Korovkin
theorems, J. Appl. Math. 2013, Article ID 187530, 5p. (SCIExpanded)
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. (SCI-Expanded)
O. Duman and M. Kester, Statistical approximation by double
Poisson-Cauchy singular integral operators, Results Math. 62 (2012)
53-65. (SCI-Expanded)
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 p. (SCI-Expanded)
O. Duman and E. Erkuş-Duman, Statistical Korovkin-type theory
for matrix-valued functions, Studia Sci. Math. Hungarica 48 (2011)
489-508. (SCI-Expanded)
H. Aktuğlu, M.A. Özarslan and O. Duman, Matrix summability
methods on the approximation of multivariate q-MKZ operators,
Bull. Malaysian Math. Sci. Soc. (2); 34 (2011) 465-474. (SCIExpanded)
G.A. Anastassiou and O. Duman, Statistical approximation by
double complex Gauss-Weierstrass integral operators, Appl. Math.
Lett. 24 (2011) 438-443. (SCI-Expanded)
M.A. Özarslan, O. Duman and N.I. Mahmudov, Local
approximation properties of modified Baskakov operators, Results
Math. 59 (2011) 1-11. (SCI-Expanded)
A. Aral and O. Duman, A Voronovskaya-type formula for SMK
operators via statistical convergence, Math. Slovaca 61 (2011) 235244. (SCI-Expanded)
7
27.6.2014
15. G.A. Anastassiou and O. Duman, Statistical Lp-convergence of
double smooth Picard singular integral operators, J. Comput. Anal.
Appl. 13 (2011) 167-187. (SCI-Expanded)
16. M. Burgin and O. Duman, Approximation by linear operators in
spaces of fuzzy continuous functions, Positivity 15 (2011) 57-72.
(SCI-Expanded)
17. O. Duman and M.A. Özarslan, Global approximation results for
modified Szasz-Mirakjan operators, Taiwanese J. Math. 15 (2011)
75-86. (SCI)
18. E. Erkuş-Duman and O. Duman, Statistical approximation
properties of high order operators constructed with the Chan-ChyanSrivastava polynomials, Appl. Math. Comput. 218 (2011) 1927-1933.
(SCI-Expanded)
19. M. Burgin and O. Duman, Approximate fuzzy continuity of
fuznctions, Internat. J. Fuzzy Syst. Appl. 1 (2011) 37-46.
20. O. Duman, Statistical fuzzy approximation to fuzzy differentiable
functions by fuzzy linear operators, Hacettepe J. Math. Stat. 39
(2010) 497-514. (SCI-Expanded)
21. M.A. Özarslan and O. Duman, Local approximation behavior of
modified SMK operators, Miskolc Math. Notes 11 (2010) 87-99.
(SCI-Expanded)
22. O. Duman, Statistical convergence of max-product approximating
operators, Turkish J. Math. 34 (2010) 501-514. (SCI-Expanded)
23. F. Dirik, O. Duman and K. Demirci, Approximation in statistical
sense to B-continuous functions by positive linear operators, Studia
Sci. Math. Hungarica 47 (2010) 289-298. (SCI-Expanded)
24. M.A. Özarslan and O. Duman, Global approximation properties of
modified SMK operators, Filomat 24 (2010) 47-61. (SCI-Expanded)
25. S. Karakuş, K. Demirci and O. Duman, Statistical approximation
by positive linear operators on modular spaces, Positivity 14 (2010)
321-334. (SCI-Expanded)
26. G.A. Anastassiou and O. Duman, Statistical convergence of double
complex Picard integral operators, Appl. Math. Lett. 23 (2010) 852858. (SCI)
27. 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. (SCIExpanded)
28. G.A. Anastassiou and O. Duman, Statistical Korovkin theory for
multivariate stochastic processes, Stochastic Anal. Appl. 28 (2010)
648-661. (SCI-Expanded)
29. O. Duman, Fuzzy approximation based on statistical rates, Publ.
Math. Debrecen 76 (2010) 453-463. (SCI-Expanded)
30. G.A. Anastassiou and O. Duman, Statistical Lp approximation by
double Gauss-Weierstrass singular integral operators, Comput.
Math. Appl. 59 (2010) 1985-1999. (SCI)
31. O. Duman, M.A. Özarslan and E. Erkuş-Duman, Rates of ideal
convergence for approximation operators, Mediterr. J. Math. 7
(2010) 111-121. (SCI-Expanded)
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32. O. Duman and M. Gürcan, Some characterizations on statistical
convergence of expected values of random variables, J. Math. Anal. 1
(2010) 1-8.
33. 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. (AMSMR)
34. V. Gupta and O. Duman, Bernstein-Durrmeyer type operators
preserving linear functions, Mat. Vesnik 62 (2010) 259-264. (AMSMR)
35. G.A. Anastassiou and O. Duman, Fractional trigonometric
Korovkin theory in statistical sense, Serdica Math. J. 36 (2010) 121136. (AMS-MR)
36. M. Bohner and O. Duman, Opial-type inequalities for diamondalpha derivatives and integrals on time scales, Differential
Equations Dynam. Systems 18 (2010) 229-237. (AMS-MR)
37. G.A. Anastassiou and O. Duman, Statistical approximation by
double Picard singular integral operators, Studia Univ. Babes-Bolyai
Math. 55 (2010) 3-20. (AMS-MR)
38. M. Burgin and O. Duman, Fuzzy approximate continuity, J. Intell.
Fuzzy Syst. 20 (2009) 225-233. (SCI-Expanded)
39. O. Duman, Strong versions of the theorems of Weierstrass, Montel
and Hurwitz, Hacettepe J. Math. Stat. 38 (2009), 153-159. (SCIExpanded)
40. F. Dirik, O. Duman and K. Demirci, Statistical approximation to
Bögel-type continuous and periodic functions, Cent. Eur. J. Math. 7
(2009), 539-549. (SCI-Expanded)
41. O. Duman and H. Merdan, Stability analysis of continuous
population model involving predation and Allee effect, Chaos,
Solitons & Fractals 41 (2009), 1218-1222. (SCI)
42. M.A. Özarslan and O. Duman, Approximation theorems by MeyerKönig and Zeller type operators, Chaos, Solitons & Fractals 41
(2009), 451-456. (SCI)
43. O. Duman, M.A. Özarslan and B. Della Vecchia, Modified SzaszMirakjan-Kantorovich operators preserving linear functions,
Turkish J. Math. 33 (2009), 151-158. (SCI-Expanded)
44. C. Çelik and O. Duman, Allee effect in a discrete-time predatorprey system, Chaos, Solitons & Fractals 40 (2009), 1956-1962. (SCI)
45. H. Merdan and O. Duman, On the stability analysis f a general
discrete-time population model involving predation and Allee effects,
Chaos, Solitons & Fractals 40 (2009), 1169-1175. (SCI)
46. G.A. Anastassiou and O. Duman, High order statistical fuzzy
Korovkin theory, Stochastic Anal. Appl. 27 (2009), 543-554. (SCIExpanded)
47. 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. (SCI)
48. G.A. Anastassiou, O. Duman and E. Erkuş-Duman, Statistical
approximation for stochastic processes, Stochastic Anal. Appl. 27
(2009), 460-474. (SCI-Expanded)
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27.6.2014
49. G.A. Anastassiou and O. Duman, Statistical weighted
approximation to derivatives of functions by linear operators, J.
Comput. Anal. Appl. 11 (2009), 20-30. (SCI-Expanded)
50. Ö. Ocalan and O. Duman, Oscillation analysis of neutral difference
equations with delays, Chaos, Solitons & Fractals 39 (2009), 261270. (SCI)
51. 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. (SCIExpanded)
52. G.A. Anastassiou and O. Duman, Fractional Korovkin theory based
on statistical convergence, Serdica Math. J. 35 (2009) 381-396.
(AMS-MR)
53. 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. Ser. A1 Math. Stat. 58 (2009) 17-22.
(AMS-MR)
54. G.A. Anastassiou and O. Duman, Statistical approximation to
periodic functions by a class of linear operators, J. Concr. Appl.
Math. 7 (2009), 200-207. (AMS-MR)
55. M. Burgin and O. Duman, Properties of fuzzy statistical limits, J.
Intell. Fuzzy Syst. 19 (2008), 385-392. (SCI-Expanded)
56. M.A. Özarslan and O. Duman, Approximation properties of Poisson
integrals for orthogonal expansions, Taiwanese J. Math. 12 (2008),
1147-1163. (SCI)
57. 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.
(SCI-Expanded)
58. O. Duman, A-Statistical convergence of sequences of convolution
operators, Taiwanese J. Math. 12 (2008), 523-536. (SCI)
59. M. Burgin and O. Duman, Statistical fuzzy convergence, Internat.
J. Uncertain. Fuzziness Knowledge-Based Systems 16 (2008), 879902. (SCI-Expanded)
60. 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. (SCI)
61. C. Çelik, H. Merdan, O. Duman and Ö. Akın, Allee effects on
population dynamics with delay, Chaos, Solitons & Fractals 37
(2008), 65-74. (SCI)
62. E. Erkuş-Duman and O. Duman, Integral-type generalizations of
the operators constructed by means of certain multivariate
polynomials, Calcolo 45 (2008), 53-67. (SCI-Expanded)
63. M.A. Özarslan and O. Duman, Local approximation results for
Szasz-Mirakjan type operators, Arch. Math. (Basel) 90 (2008), 144149. (SCI-Expanded)
64. O. Duman and G.A. Anastassiou, On statistical fuzzy trigonometric
Korovkin theory, J. Comput. Anal. Appl. 10 (2008), 333-344. (SCIExpanded)
10
27.6.2014
65. G.A. Anastassiou and O. Duman, A Baskakov type generalization of
statistical Korovkin theory, J. Math. Anal. Appl. 340 (2008), 476486. (SCI)
66. O. Duman, M.A. Özarslan and H. Aktuğlu, Better error estimation
for Szasz-Mirakjan-Beta operators, J. Comput. Anal. Appl. 10
(2008), 53-59. (SCI-Expanded)
67. S. Karakuş, K. Demirci and O. Duman, Equi-statistical convergence
of positive linear operators, J. Math. Anal. Appl. 339 (2008), 10651072. (SCI)
68. G.A. Anastassiou and O. Duman, Statistical fuzzy approximation
by fuzzy positive linear operators, Comput. Math. Appl. 55 (2008),
573-580. (SCI)
69. S. Karakuş, K. Demirci and O. Duman, Statistical convergence on
intuitionistic fuzzy normed spaces, Chaos, Solitons & Fractals 35
(2008), 763-769. (SCI)
70. O. Duman and M.A. Özarslan, Szasz-Mirakjan type operators
providing a better error estimation, Appl. Math. Lett. 20 (2007),
1184-1188). (SCI)
71. B. Della Vecchia and O. Duman, Weighted approximation by
Meyer-König and Zeller type operators, Studia Sci. Math. Hungarica
44 (2007), 445-467. (SCI-Expanded)
72. M.A. Özarslan and O. Duman, MKZ type operators providing a
better estimation on [1/2,1), Canadian Math. Bull. 50 (2007), 434439. (SCI-Expanded)
73. O. Duman, Regular matrix transformations and rates of
convergence of positive linear operators, Calcolo 44 (2007), 159-164.
(SCI-Expanded)
74. O. Duman, Korovkin type approximation theorems via Iconvergence, Czech. Math. J. 57 (2007), 367-375. (SCI-Expanded)
75. O. Duman, Higher order generalization of positive linear operators
defined by a class of Borel measures, Turkish J. Math. 31 (2007),
333-339. (SCI-Expanded)
76. O. Duman and E. Erkuş, Approximation of continuous periodic
functions via statistical convergence, Comput. Math. Appl. 52
(2006), 967-974. (SCI)
77. 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. (SCI-Expanded)
78. O. Duman, E. Erkuş and V. Gupta, Statistical rates on the
multivariate approximation theory, Math. Comput. Modelling 44
(2006), 763-770. (SCI-Expanded)
79. O. Duman, Statistical approximation theorems by k-positive linear
operators, Arch. Math. (Basel) 86 (2006), 569-576. (SCI-Expanded)
80. O. Duman, M.A. Özarslan and O. Doğru, On integral type
generalizations of positive linear operators, Studia Math. 174 (2006),
1-12. (SCI)
81. O. Doğru and O. Duman, Statistical approximation of Meyer König
and Zeller operators based on q-integers, Publ. Math. Debrecen
(2006), 199-214. (SCI-Expanded)
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82. E. Erkuş and O. Duman, A Korovkin type approximation theorem
in statistical sense, Studia Sci. Math. Hungarica 43 (2006), 285-294.
(SCI-Expanded)
83. O. Duman and C. Orhan, An abstract version of the Korovkin
approximation theorem, Publ. Math. Debrecen 69 (2006), 33-46.
(SCI-Expanded)
84. M.A. Özarslan, O. Duman and O. Doğru, A-Statistical convergence
for a class of positive linear operators, Rev. Anal. Numer. Theor.
Approx. 35 (2006), 151-168. (AMS-MR)
85. E. Erkuş and O. Duman, A-statistical extension of the Korovkin
type approximation theorem, Proc. Indian. Acad. Sci. (Math. Sci.)
115 (2005), 499-508. (SCI-Expanded)
86. M.A. Özarslan, O. Duman and O. Doğru, Rates of A-statistical
convergence of approximating operators, Calcolo 42 (2005), 93-104.
(SCI-Expanded)
87. O. Duman and C. Orhan, Rates of A-statistical convergence of
positive linear operators, Appl. Math. Lett. 18 (2005), 1339-1344.
(SCI)
88. O. Duman, The effects of matrix summability methods on bounds of
function sequences, Appl. Math. Lett. 17 (2004), 1221-1229. (SCI)
89. O. Duman and C. Orhan, Statistical approximation by positive
linear operators, Studia Math. 161 (2004), 187-197. (SCI)
90. O. Duman and C. Orhan, Mu-Statistically convergent function
sequences, Czech. Math. J. 54 (2004), 413-422. (SCI-Expanded)
91. O. Duman and C. Orhan, Statistical approximation in the space of
locally integrable functions, Publ. Math. Debrecen 63 (2003), 133144. (SCI-Expanded)
92. O. Duman, M.K. Khan and C. Orhan, A-statistical convergence of
approximatig operators, Math. Ineq. Appl. 6 (2003), 689-699. (SCIExpanded)
93. O. Doğru, O. Duman and C. Orhan, Statistical approximation by
generalized Meyer-König and Zeller type operators, Studia Sci.
Math. Hungarica 40 (2003), 359-371. (SCI-Expanded)
94. O. Duman, Statistical approximation for periodic functions,
Demonstratio Math. 36 (2003), 873-878. (AMS-MR)
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