Statistical weighted A -summability with application to Korovkin’s type approximation theorem

Journal of inequalities and applications

Syed Abdul Mohiuddine¹ 

关键词: statistical convergence;    statistical weighted A-summability;    regular matrix;    positive linear operator;    Korovkin theorem;    41A10;    41A25;    41A36;    40A30;   

DOI  :  10.1186/s13660-016-1040-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce the notion of statistical weighted A-summability of a sequence and establish its relation with weighted A-statistical convergence. We also define weighted regular matrix and obtain necessary and sufficient conditions for the matrix A to be weighted regular. As an application, we prove the Korovkin type approximation theorem through statistical weighted A-summability and using the BBH operator to construct an illustrative example in support of our result.

【 授权许可】

CC BY