Korovkin type approximation theorem for functions of two variables through statistical A -summability

Advances in Difference Equations

Mohammad Mursaleen¹  Abdullah Alotaibi² 

[1] Department of Mathematics, Aligarh Muslim University, Aligarh, India;Department of Mathematics, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia

关键词: density;    statistical convergence;    A-statistical convergence;    statistical A-summability;    positive linear operator;    Korovkin type approximation theorem;   

DOI  :  10.1186/1687-1847-2012-65

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we prove a Korovkin type approximation theorem for a function of two variables by using the notion of statistical A-summability. We also study the rate of statistical A-summability of positive linear operators. Finally we construct an example by Bleimann et al. operators to show that our result is stronger than those of previously proved by other authors. AMS Subject Classification 2000: 41A10; 41A25; 41A36; 40A30; 40G15.

【 授权许可】

CC BY