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.
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页码：565 / 577
页数：13
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