Korovkin type approximation theorem for functions of two variables via statistical summability (C, 1)

被引：3

作者：

Mursaleen, Mohammad ^{[1
]}

Mohiuddine, Syed Abdul ^{[2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

ACTA SCIENTIARUM-TECHNOLOGY | 2015年 / 37卷 / 02期

关键词：

statistical convergence; A-statistical convergence; statistical A-summability; statistical summability (C; 1); positive linear operator; Korovkin type approximation theorem; DOUBLE SEQUENCES; A-SUMMABILITY; CONVERGENCE;

D O I：

10.4025/actascitechnol.v37i2.17300

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The concept of statistical summability (C, 1) has recently been introduced by Moricz (2002). In this paper, we use this notion of summability to prove the Korovkin type approximation theorem for functions of two variables. Finally we construct an example by Bleimann, Butzer and Hahn operators to show that our result is stronger than those of previously proved by other authors for ordinary convergence and statistical convergence.

引用

页码：237 / 243

页数：7

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