Relative modular convergence of positive linear operators

被引：19

作者：

Yilmaz, Burcak ^{[1
]}

Demirci, Kamil ^{[1
]}

Orhan, Sevda ^{[1
]}

机构：

[1] Sinop Univ, Fac Sci & Arts, Dept Math, TR-57000 Sinop, Turkey

来源：

POSITIVITY | 2016年 / 20卷 / 03期

关键词：

Positive linear operators; Modular space; Relative modular convergence; Korovkin theorem;

D O I：

10.1007/s11117-015-0372-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define a new type of modular convergence by using the notion of the relatively uniform convergence. We prove a Korovkin-type approximation theorem via this type of convergence in modular spaces. Then, we construct an example such that our new approximation result works but its classical cases do not work.

引用

页码：565 / 577

页数：13

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