Triangular ideal relative convergence on modular spaces and Korovkin theorems

被引：0
|
作者：
Cinar, Selin [1 ]
Yildiz, Sevda [1 ]
机构：
[1] Sinop Univ, Fac Sci & Arts, Dept Math, Sinop, Turkiye
来源：
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2023年 / 68卷 / 04期
关键词：
Positive linear operators; the double sequences; triangular ideal relative modular convergence; Korovkin theorem; APPROXIMATION THEOREM; UNIFORM-CONVERGENCE; SUMMATION PROCESS; DOUBLE SEQUENCES;
D O I：
10.24193/subbmath.2023.4.17
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the concept of triangular ideal relative convergence for double sequences of functions defined on a modular space. Based upon this new convergence method, we prove Korovkin theorems. Then, we construct an example such that our new approximation results work. Finally, we discuss the reduced results which are obtained by special choices.
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页码：907 / 924
页数：18
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