Stancu type operators including generalized Brenke polynomials

Author:

Sucu Sezgin1

Affiliation:

1. Ankara University, Faculty of Science, Department of Mathematics, Ankara, Turkey

Abstract

Our objective in this paper is to present the sequence of Stancu type operators including generalized Brenke polynomials. We answer the problem of uniform approximation of continuous functions on closed bounded interval and the problem of the order of this convergence estimate by known tools in approximation theory. Furthermore, we apply some of the results obtained in this work to Miller-Lee polynomials and Gould-Hopper polynomials.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference20 articles.

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2. F. Altomare, M. Campiti, Korovkin-type approximation theory and its applications. Appendix A by Michael Pannenberg and Appendix B by Ferdinand Beckhoff, de Gruyter Studies in Mathematics, 17. Walter de Gruyter & Co., Berlin, 1994.

3. Ç. Atakut, İ. Büyükyazıcı, Approximation by Kantorovich-Szász type operators based on Brenke type polynomials, Numer. Funct. Anal. Optim. 37(12) (2016) 1488-1502.

4. T.S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, New York, 1978.

5. B. Çekim, R. Aktaş, G. İçóz, Kantorovich-Stancu type operators including Boas-Buck type polynomials, Hacet. J. Math. Stat. 48(2) (2019) 460-471.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Kantorovich Stancu Type Operator Including Generalized Brenke Polynomials;Gazi University Journal of Science Part A: Engineering and Innovation;2023-12-31

2. Charlier Polinomlarıyla İlişkili Kantorovich Tipi Operatörler Sınıfının Yaklaşım Özellikleri;Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi;2023-08-31

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