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

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Universal Journal of Mathematics and Applications
Volume:6 Issue:1
Theorems of Second Korovkin Type with respect to Triangular $A$-Statistical Convergence

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

Pages : 15-22

View : 17 | Download : 6

Publication Date : 2023-03-28

Article Type : Research Paper

Abstract :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.
Keywords : Positive linear operator, Korovkin type theorem, triangular A statistical convergence

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