Weighted statistical approximation by kantorovich type q-Szasz-Mirakjan operators

被引：37

作者：

Orkcu, Mediha ^{[1
]}

Dogru, Ogun ^{[1
]}

机构：

[1] Gazi Univ, Dept Math, Fac Arts & Sci, TR-06500 Ankara, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 20期

关键词：

q-Szasz-Mirakjan operators; Weighted Korovkin type theorem; Voronovskaja type asymptotic formulas; Kantorovich type operators; POSITIVE LINEAR-OPERATORS; MIRAKYAN OPERATORS; CONVERGENCE;

D O I：

10.1016/j.amc.2011.03.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we introduce a Kantorovich type modification of q-Szasz-Mirakjan operators and obtain weighted statistical approximation properties of these operators. Also for introduced operators, we give a Voronovskaja type theorem related to q-derivatives. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：7913 / 7919

页数：7