Approximation properties of Szasz-Mirakyan-Kantorovich type operators

被引：17

作者：

Aral, Ali ^{[1
]}

Limmam, Mohamed Lemine ^{[1
]}

Ozsarac, Firat ^{[1
]}

机构：

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 16期

关键词：

Szasz-Mirakyan operators; uniform convergence; weighted modulus of continuity;

D O I：

10.1002/mma.5280

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study new type Szasz-Mirakyan-Kantorovich operators using a technique different from classical one. This allow to analyze the mentioned operators in terms of exponential test functions instead of the usual polynomial type functions. As a first result, we prove Korovkin type approximation theorems through exponential weighted convergence. The rate of convergence of the operators is obtained for exponential weights.

引用

页码：5233 / 5240

页数：8

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