Korovkin Type Approximation For Double Sequences Via $\mu$-Statistical\\ $\mathcal{A}$-Summation Process in Modular Spaces

Selin Çınar; Kamil  Demirci

doi:10.5644/SJM.17.02.07

Korovkin Type Approximation For Double Sequences Via $\mu$-Statistical\\ $\mathcal{A}$-Summation Process in Modular Spaces

Authors

Selin Çınar
Kamil Demirci

DOI:

https://doi.org/10.5644/SJM.17.02.07

Keywords:

Positive linear operators, modular spaces, double sequences, matrix summability, statistical convergence, μ−statistical convergence

Abstract

In the present paper, we extend the Korovkin type approximation theorem via $%
\mu -$statistical $\mathcal{A}$-summation process onto the double sequences of positive linear operators in a modular space. We apply our new result to bivariate Mellin-type operators in Orlicz spaces. Then we discuss the reduced results which are obtained by special choices and the matrix sequences.

Statistics

Abstract: 41 / PDF: 16

Downloads

Published

03.03.2022

How to Cite

Çınar, S., & Demirci, K. . (2022). Korovkin Type Approximation For Double Sequences Via $\mu$-Statistical\\ $\mathcal{A}$-Summation Process in Modular Spaces. Sarajevo Journal of Mathematics, 17(2), 199–216. https://doi.org/10.5644/SJM.17.02.07