Jain-Baskakov Operators and its Different Generalization

被引：10
作者：
Patel P. [1 ,2 ]
Mishra V.N. [3 ]
机构：
[1] Department of Applied Mathematics & Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, 395 007, Gujarat
[2] Department of Mathematics, St. Xavier’s College (Autonomous), Ahmedabad, 380 009, Gujarat
[3] L. 1627 Awadh Puri Colony Beniganj, Phase -III, Opposite - Industrial Training Institute (I.T.I.), Ayodhya Main Road, Faizabad, 224 001, Uttar Pradesh
来源：
Acta Mathematica Vietnamica | 2015年 / 40卷 / 4期
关键词：
A-Statistical convergence; Baskakov operators; Jain operators; King-type operators; Rate of convergence; Stancu operators; Weighted approximation;
D O I：
10.1007/s40306-014-0077-9
中图分类号：
学科分类号：
摘要：
The aim of this work is to introduce a new sequence of positive linear operators, which is an integral version of Jain operators. We studied some direct results in ordinary approximation. Weighted approximation, rate of convergence, and A-statistical convergence are investigated. Also, we discussed approximation properties of King-type and Stancu-type generalization of these new sequences of linear positive operators and investigated a modification of Jain-Baskakov operators with parameter c. At the end, we propose a q-analogue of Jain operators based on a q-integer. © 2014, Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore.
引用
收藏
页码：715 / 733
页数：18
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