Abel Convergence of the Sequence of Positive Linear Operators in Lp,q (loc)

被引：0

作者：

Bayram, Nilay Sahin ^{[1
]}

Orhan, Cihan ^{[1
]}

机构：

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

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2019年 / 26卷 / 01期

关键词：

Abel convergence; positive linear operators; locally integrable functions; Korovkin type theorem; modulus of continuity; rate of abel convergence; KOROVKIN-TYPE; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p,L-q (loc) into itself with the use of Abel method which is a sequence-to-function transformation. Using the modulus of continuity for L-p,L-q (loc) we also give the rate of Abel convergence of these operators.

引用

页码：71 / 83

页数：13

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