- Universal Journal of Mathematics and Applications
- Vol: 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
Authors : Selin Çinar
Pages : 15-22
Doi:10.32323/ujma.1207010
View : 12 | Download : 5
Publication Date : 2023-03-28
Article Type : Research
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