Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence

This article is a continuation of our previous works. We mainly investigate a Korovkin type theorem for double sequences of positive linear operators defined in the space of all $2\pi $-periodic and real valued continuous functions on the real two-dimensional space with help of the concept of triang...

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Bibliographic Details
Published in:Universal journal of mathematics and applications 2023-03, Vol.6 (1), p.15-22
Main Author: ÇINAR, Selin
Format: Article
Language:English
Subjects:
korovkin type theorem
positive linear operator
triangular a-statistical convergence
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Summary:This article is a continuation of our previous works. We mainly investigate a Korovkin type theorem for double sequences of positive linear operators defined in the space of all $2\pi $-periodic and real valued continuous functions on the real two-dimensional space with help of the concept of triangular $A$-statistical convergence, which is a kind of statistical convergence for double real sequences. Also, we analyze the rate of convergence of double operators in this via modulus of continuity.
ISSN:2619-9653
2619-9653
DOI:10.32323/ujma.1207010