Statistical Convergence of Bernstein Operators

Authors

A. Esi, Department of Mathematics, Science and Art Faculty, Adiyaman University, Adiyaman, TurkeyFollow
S. Araci, Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep, TurkeyFollow
M. Acikgoz, Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the statistical convergence of sequence of Bernstein polynomials. In this paper, we introduce the concepts of statistical convergence of Bernstein polynomials and VB−summability and related theorems. We also study Korovkin type-convergence of Bernstein polynomials.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100610

Recommended Citation

Esi, A.; Araci, S.; and Acikgoz, M. (2016) "Statistical Convergence of Bernstein Operators," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 10.
DOI: http://dx.doi.org/10.18576/amis/100610
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/10