Korovkin theory via Pp-statistical relative modular convergence for double sequences

被引：0
作者：
Yildiz, Sevda [1 ]
Demirci, Kamil [1 ]
Dirik, Fadime [1 ]
机构：
[1] Sinop Univ, Dept Math, Sinop, Turkey
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 02期
关键词：
Power series method; Double sequence; Korovkin theorem; Modular space; Statistical convergence; POSITIVE LINEAR-OPERATORS; POWER-SERIES METHODS; APPROXIMATION; SPACES;
D O I：
10.1007/s12215-021-00681-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new type of statistical relative modular convergence for the first time and we obtain Korovkin theorems for double sequences of positive linear operators on modular spaces in the sense of this new statistical type convergence with respect to power series method. Finally, we present an interesting application that satisfies our new approximation theorem but not satisfies the classical ones. So, we show that our results are meaningful.
引用
收藏
页码：1125 / 1141
页数：17
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