Strong summation process in locally integrable function spaces

被引：3

作者：

Bayram, Nilay Ahin ^{[1
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2016年 / 45卷 / 03期

关键词：

A-summability; positive linear operators; locally integrable functions; Korovkin type theorem; modulus of continuity; rate of convergence; KOROVKIN-TYPE; CONVERGENCE;

D O I：

10.15672/HJMS.20164513102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using the concept of strong summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p,L-q (loc) into itself. We also study modulus of continuity for L-p,L-q (loc) approximation and give the rate of convergence of these operators.

引用

页码：683 / 694

页数：12

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