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

Yıl 2023, , 15 - 22, 28.03.2023

Selin Çınar

https://doi.org/10.32323/ujma.1207010

Öz

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.

Anahtar Kelimeler

Positive linear operator, Korovkin type theorem, triangular A-statistical convergence

Kaynakça

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