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.

引用

页码：235 / 244

页数：10

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