Korovkin Type Approximation Theorems via Lacunary Equistatistical Convergence

被引：6

作者：

Alotaibi, Abdullah ^{[1
]}

Mursaleen, M. ^{[2
]}

机构：

[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

FILOMAT | 2016年 / 30卷 / 13期

关键词：

Statistical convergence; lacunary equistatistical convergence; positive linear operator; Korovkin type approximation theorem; WEIGHTED STATISTICAL CONVERGENCE; LINEAR-OPERATORS; SUMMABILITY;

D O I：

10.2298/FIL1613641A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

H. Aktuglu and H. Gezer [Central European J. Math. 7 (2009), 558- 567] introduced the concepts of lacunary equistatistical convergence, lacunary statistical pointwise convergence and lacunary statistical uniform convergence for sequences of functions. In this paper, we apply the notion of lacunary equistatistical convergence to prove a Korovkin type approximation theorem by using test functions 1, x/1-x, (x/1-x)(2).

引用

页码：3641 / 3647

页数：7

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