KOROVKIN THEOREM VIA STATISTICAL e-MODULAR CONVERGENCE OF DOUBLE SEQUENCES

Year 2018, Volume: 22 Issue: 6, 1743 - 1751, 01.12.2018

Sevda Yıldız

https://doi.org/10.16984/saufenbilder.383770

Cited By: 3

Abstract

In the present paper, we obtain an abstract version of the Korovkin type theorem via the concept of statistical e-convergence in modular spaces for double sequences of positive linear operators. We give an application showing that the new result is stronger than classical ones. Also, we study an extension to non-positive operators.

Keywords

Statistical e-modular convergence, double sequence, abstract Korovkin theorem

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