Statistical approximation results for Kantorovich-type operators involving some special polynomials

被引：42
作者：
Ozarslan, M. Ali [2 ]
Duman, Oktay [3 ]
Srivastava, H. M. [1 ]
机构：
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] Eastern Mediterranean Univ, Dept Math, TR-33310 Gazimagusa, Mersin, Turkey
[3] TOBB Econ & Technol Univ, Dept Math, TR-06530 Ankara, Turkey
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2008年 / 48卷 / 3-4期
基金：
加拿大自然科学与工程研究理事会;
关键词：
A-statistical convergence; infinite summability matrix; positive linear operators; Kantorovich-type operators; Lipschitz class; modulus of continuity; rth order generalizations;
D O I：
10.1016/j.mcm.2007.08.015
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we introduce a general sequence of Kantorovich-type operators associated with some special polynomials and study their approximation properties. Mainly, we compute the rates of A-statistical convergence of these operators, which are observed to be stronger than that of the operators used commonly in Approximation Theory. Furthermore, we present an rth order generalization of our sequence of Kantorovich-type operators. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：388 / 401
页数：14
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