Statistical Relative Α-Summation Process and Korovkin-Type Approximation Theorem on Modular Spaces

被引：0

作者：

Kolay, Burcak ^{[1
]}

Orhan, Sevda ^{[1
]}

Demirci, Kamil ^{[1
]}

机构：

[1] Sinop Univ, Dept Math, Sinop, Turkey

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2018年 / 42卷 / A2期

关键词：

Positive linear operators; Modular space; Matrix summability; Statistical convergence; Korovkin Theorem; FILTER CONVERGENCE; MATRIX SUMMABILITY;

D O I：

10.1007/s40995-016-0137-1

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we present the notion of relative Alpha-summation process. Then we give a statistical Korovkin-type approximation theorem via relative Alpha-summation process in the setting of modular spaces, which includes as particular cases Lp, Orlicz and Musielak-Orlicz spaces. Finally, we give an example showing that our results are proper extensions of the corresponding ones.

引用

页码：683 / 692

页数：10

共 42 条

[1]

Altomare F., 1994, De Gruyter Studies in Mathematics, V17

[2]

Altomare F., 2010, Surv. Approx. Theory, V5, P92

[3] A Baskakov type generalization of statistical Korovkin theory [J].