Some approximation properties of Baskakov-Durrmeyer-Stancu operators

被引：28
|
作者：
Verma, D. K. [2 ]
Gupta, Vijay [1 ]
Agrawal, P. N. [2 ]
机构：
[1] Netaji Subhas Inst Technol, Sch Appl Sci, Sect 3, New Delhi 110078, India
[2] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 11期
关键词：
Baskakov-Durrmeyer operator; Pointwise convergence; Asymptotic formula; q-Analogue; LINEAR-OPERATORS;
D O I：
10.1016/j.amc.2011.12.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are dealing with a new type of Baskakov-Durrmeyer-Stancu (BDS) operators D-n((alpha,beta)) (f, x) defined by (1.4). First we estimate moments of these operators and also obtain the recurrence relations for the moments. We estimate some approximation properties and asymptotic formulae for these operators. In the last section, we give better error estimations for the operators (1.4) using King type approach. (C) 2011 Published by Elsevier Inc.
引用
收藏
页码：6549 / 6556
页数：8
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