A Voronovskaya-type formula for SMK operators via statistical convergence

被引：6
|
作者：
Aral, Ali [2 ]
Duman, Oktay [1 ]
机构：
[1] TOBB Econ & Technol Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey
[2] Kirikkale Univ, Fac Arts & Sci, Dept Math, TR-71450 Ankara, Turkey
来源：
MATHEMATICA SLOVACA | 2011年 / 61卷 / 02期
关键词：
A-statistical convergence; Szasz-Mirakjan operators; Korovkin-type approximation theorem; Voronovskaya-type theorem; POSITIVE LINEAR-OPERATORS; APPROXIMATION THEOREM; KOROVKIN THEORY; POLYNOMIALS;
D O I：
10.2478/s12175-011-0008-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain a statistical Voronovskaya-type theorem for the Szasz-Mirakjan-Kantorovich (SMK) operators by using the notion of A-statistical convergence, where A is a non-negative regular summability matrix.
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页码：235 / 244
页数：10
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