Korovkin Type Approximation Theorem for Functions of Two Variables Through αβ−Statistical Convergence

Year 2019, , 198 - 204, 26.12.2019

Selma Altundağ , Bayram Sözbir

https://doi.org/10.33187/jmsm.652626

Abstract

In this paper, we introduce the concepts of αβ−statistical convergence and strong αβ− summability of double sequences and investigate the relation between these two new concepts. Moreover, statistical convergence and αβ− statistical convergence of double sequences are compared under some certain assumptions. Finally, as an application, we prove Korovkin type approximation theorem for a function of two variables by using the notion of αβ−statistical convergence.

Keywords

αβ-statistical convergence, Double sequences, Korovkin type theorem, Lacunary statistical convergence, λ-statistical convergence, Statistical convergence

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