Bleimann, Butzer, and Hahn operators based on the q-integers

Journal of Inequalities and Applications

Volumn 2007, Issue , 2007, Pages

  Aral, Ali ^a   Dǒru, Ogün ^b  

^a KIRIKKALE UNIVERSITY   (Turkey)

^b GAZI UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38749131574     PISSN: 10255834     EISSN: 1029242X     Source Type: Journal    
DOI: 10.1155/2007/79410     Document Type: Article

References (19)

1. G. M. Phillips Bernstein polynomials based on the q-integers. Annals of Numerical Mathematics 4 1997 1-4 511 518
2. T. N. T. Goodman H. Oruç G. M. Phillips Convexity and generalized Bernstein polynomials. Proceedings of the Edinburgh Mathematical Society 42 1999 1 179 190
3. H. Oruç G. M. Phillips A generalization of the Bernstein polynomials. Proceedings of the Edinburgh Mathematical Society 42 1999 2 403 413
4. D. Barbosu Some generalized bivariate Bernstein operators. Mathematical Notes 1 2000 1 3 10
5. A. II'nskii S. Ostrovska Convergence of generalized Bernstein polynomials. Journal of Approximation Theory 116 2002 1 100 112
6. O. Doru O. Duman Statistical approximation of Meyer-König and Zeller operators based on q-integers. Publicationes Mathematicae Debrecen 68 2006 1-2 199 214
7. T. Trif Meyer-König and Zeller operators based on the q-integers. Revue d'Analyse Numérique et de Théorie de l'Approximation 29 2000 2 221 229
8. G. Bleimann P. L. Butzer L. Hahn A Bernšteǐn-type operator approximating continuous functions on the semi-axis. Koninklijke Nederlandse Akademie van Wetenschappen. Indagationes Mathematicae 42 1980 3 255 262
9. F. Altomare M. Campiti Korovkin-Type Approximation Theory and Its Applications. De Gruyter Studies in Mathematics 17 Walter de Gruyter Berlin, Germany 1994 xii+627
10. A. D. Gadjiev Ö. Čakar On uniform approximation by Bleimann, Butzer and Hahn operators on all positive semiaxis. Transactions of Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 19 1999 5 21 26
11. O. Agratini Approximation properties of a generalization of Bleimann, Butzer and Hahn operators. Mathematica Pannonica 9 1998 2 165 171
12. O. Agratini A class of Bleimann, Butzer and Hahn type operators. Analele Universitǎţii Din Timişoara 34 1996 2 173 180
13. O. Doǧru, On Bleimann, Butzer and Hahn type generalization of Balázs operators. Studia Universitatis Babeş-Bolyai. Mathematica 47 2002 4 37 45
14. G. M. Phillips Interpolation and Approximation by Polynomials. CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC, 14 Springer New York, NY, USA 2003 xiv+312
15. O. Agratini Note on a class of operators on infinite interval. Demonstratio Mathematica 32 1999 4 789 794
16. B. Lenze Bernstein-Baskakov-Kantorovič operators and Lipschitz-type maximal functions. Approximation Theory (Kecskemét, 1990) Colloquia Mathematica Societatis János Bolyai 58 469 496 North-Holland Amsterdam, The Netherlands 1991
17. U. Abel M. Ivan Some identities for the operator of Bleimann, Butzer and Hahn involving divided differences. Calcolo 36 1999 3 143 160
18. A. Aral V. Gupta The q-derivative and applications to q-Szász Mirakyan operators. Calcolo 43 2006 3 151 170
19. D. D. Stancu Approximation of functions by a new class of linear polynomial operators. Revue Roumaine de Mathématiques Pures et Appliquées 13 1968 1173 1194