APPROXIMATION IN STATISTICAL SENSE TO B-CONTINUOUS FUNCTIONS BY POSITIVE LINEAR OPERATORS

被引：8

作者：

Dirik, Fadime ^{[1
]}

Duman, Oktay ^{[2
]}

Demirci, Kamil ^{[1
]}

机构：

[1] Sinop Univ, Fac Arts & Sci, Dept Math, TR-57000 Sinop, Turkey

[2] TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2010年 / 47卷 / 03期

关键词：

Regularity for double sequences; A-statistical convergence for double sequences; the Korovkin theorem; B-continuity; CONVERGENCE; SEQUENCES;

D O I：

10.1556/SScMath.2009.1129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present work, using the concept of A-statistical convergence for double real sequences, we obtain a statistical approximation theorem for sequences of positive linear operators defined on the space of all real valued B-continuous functions on a compact subset of the real line. Furthermore, we display an application which shows that our new result is stronger than its classical version.

引用

页码：289 / 298

页数：10