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.
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页码：289 / 298
页数：10
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