STATISTICAL A-SUMMABILITY OF DOUBLE SEQUENCES AND A KOROVKIN TYPE APPROXIMATION THEOREM

Belen, Cemal; Mursaleen, Mohammad; Yildirim, Mustafa

doi:10.4134/BKMS.2012.49.4.851

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STATISTICAL A-SUMMABILITY OF DOUBLE SEQUENCES AND A KOROVKIN TYPE APPROXIMATION THEOREM

Journal title : Bulletin of the Korean Mathematical Society
Volume 49, Issue 4, 2012, pp.851-861
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2012.49.4.851

Title & Authors

STATISTICAL A-SUMMABILITY OF DOUBLE SEQUENCES AND A KOROVKIN TYPE APPROXIMATION THEOREM
Belen, Cemal; Mursaleen, Mohammad; Yildirim, Mustafa;

Abstract

In this paper, we define the notion of statistical A-summability for double sequences and find its relation with A-statistical convergence. We apply our new method of summability to prove a Korovkin-type approximation theorem for a function of two variables. Furthermore, through an example, it is shown that our theorem is stronger than classical and statistical cases.

Keywords

statistical convergence;statistical A-summability;Korovkin theorem;double sequence;positive linear operators;

Language

English

Cited by

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