APPROXIMATION BY k-TH ORDER MODIFICATIONS OF SZASZ-MIRAKYAN OPERATORS

被引：14

作者：

Acar, Tuncer ^{[1
]}

Aral, Ali ^{[1
]}

Rasa, Ioan ^{[2
]}

机构：

[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[2] Tech Univ Cluj Napoca, Cluj Napoca, Romania

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2016年 / 53卷 / 03期

关键词：

Szasz-Mirakyan operators; Kantorovich operators; weighted modulus of continuity; quantitative Voronovskaya theorem; simultaneous approximation; THEOREMS;

D O I：

10.1556/012.2016.53.3.1339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the k-th order Kantorovich type modication of Szasz-Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, we present a quantitative Voronovskaya theorem for differentiated Szasz-Mirakyan operators in weighted spaces. The approximation properties such as rate of convergence and simultaneous approximation by the new constructions are also obtained.

引用

页码：379 / 398

页数：20

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