Research Article

Approximation by Composition of q-SZASZ-Mirayan and q-Durrmeyer-Chlodowsky Operators

Volume: 7 December 19, 2017
EN

Approximation by Composition of q-SZASZ-Mirayan and q-Durrmeyer-Chlodowsky Operators

Abstract

In the present paper, we introduce q-Sz´asz Mirakyan operators by taking the weight function of q-Chlodowsky-Durrmeyer operators on C[0;1) and investigate their approximation properties. We give weighted approximation theorem.

Keywords

References

  1. Büyükyazıcı, I., Tanberkan, H., Kırcı Serenbay, S., Atakut, Ç., Approximation by Chlodowsky type Jakimovskiy Leviatan operators, Journal of Computational and Applied Mathematics, 259(2013), 153--163.
  2. Dalmanoglu, Ö., Kırcı Serenbay, S., Approximation by Chlodowsky type q-Jakimovski-Leviatan operators, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 65(1)(2016), 157--169.
  3. Gupta, V., Heping, W., The rate of convergence of q-Durrmeyer operators for $0< q <1$, Math. Methods Appl. Sci., 31(2008), 1946--1955.
  4. Ispir, N., On modified Baskakov operators on weighted spaces, Turk. J. Math., 26(2001), 355--365.
  5. İzgi, A., Approximation by composition of Szasz-Mirakyan and Durrmeyer-Chlodowsky operators}, Eurasian Mathematical Journel ISSN 2077-9879, 3(1)(2012), 63--71.
  6. Kac, V., Cheung, P., Quantum Calculus, Universitext, Springer-Verlag, New York, 2002.
  7. Mahmudov, N.I., Kaffaoğlu, H., On $q$-Szasz-Durrmeyer operators, Central European Journal of Mathematics, 8(2010),399--409.
  8. Phillips, G.M., Bernstein polynominals based on the q-integers, Ann. Number. Math., 4(1997), 511--518.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 19, 2017

Submission Date

September 15, 2017

Acceptance Date

December 18, 2017

Published in Issue

Year 2017 Volume: 7

APA
İzgi, A., & Acar, E. (2017). Approximation by Composition of q-SZASZ-Mirayan and q-Durrmeyer-Chlodowsky Operators. Turkish Journal of Mathematics and Computer Science, 7, 83-89. https://izlik.org/JA65KE49FA
AMA
1.İzgi A, Acar E. Approximation by Composition of q-SZASZ-Mirayan and q-Durrmeyer-Chlodowsky Operators. TJMCS. 2017;7:83-89. https://izlik.org/JA65KE49FA
Chicago
İzgi, Aydın, and Ecem Acar. 2017. “Approximation by Composition of Q-SZASZ-Mirayan and Q-Durrmeyer-Chlodowsky Operators”. Turkish Journal of Mathematics and Computer Science 7 (December): 83-89. https://izlik.org/JA65KE49FA.
EndNote
İzgi A, Acar E (December 1, 2017) Approximation by Composition of q-SZASZ-Mirayan and q-Durrmeyer-Chlodowsky Operators. Turkish Journal of Mathematics and Computer Science 7 83–89.
IEEE
[1]A. İzgi and E. Acar, “Approximation by Composition of q-SZASZ-Mirayan and q-Durrmeyer-Chlodowsky Operators”, TJMCS, vol. 7, pp. 83–89, Dec. 2017, [Online]. Available: https://izlik.org/JA65KE49FA
ISNAD
İzgi, Aydın - Acar, Ecem. “Approximation by Composition of Q-SZASZ-Mirayan and Q-Durrmeyer-Chlodowsky Operators”. Turkish Journal of Mathematics and Computer Science 7 (December 1, 2017): 83-89. https://izlik.org/JA65KE49FA.
JAMA
1.İzgi A, Acar E. Approximation by Composition of q-SZASZ-Mirayan and q-Durrmeyer-Chlodowsky Operators. TJMCS. 2017;7:83–89.
MLA
İzgi, Aydın, and Ecem Acar. “Approximation by Composition of Q-SZASZ-Mirayan and Q-Durrmeyer-Chlodowsky Operators”. Turkish Journal of Mathematics and Computer Science, vol. 7, Dec. 2017, pp. 83-89, https://izlik.org/JA65KE49FA.
Vancouver
1.Aydın İzgi, Ecem Acar. Approximation by Composition of q-SZASZ-Mirayan and q-Durrmeyer-Chlodowsky Operators. TJMCS [Internet]. 2017 Dec. 1;7:83-9. Available from: https://izlik.org/JA65KE49FA