Statistical approximation for new positive linear operators of Lagrange type

被引：13

作者：

Mursaleen, M. ^{[1
]}

Khan, Faisal ^{[1
]}

Khan, Asif ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷

关键词：

Lagrange polynomial; A-statistical convergence; Positive linear operators; Modulus of continuity; Error estimate; Peetre's K-functional; Lipschitz class; TAUBERIAN CONDITIONS; CONVERGENCE FOLLOWS; SUMMABILITY; POLYNOMIALS; THEOREMS;

D O I：

10.1016/j.amc.2014.01.093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove some approximation results in statistical sense and establish some direct theorems for the positive linear operators constructed by the means of Lagrange type polynomials. We compute error estimation by using modulus of continuity with the help of Matlab and give its algorithm. Furthermore, we show graphically the convergence of our operators to various functions. (c) 2014 Elsevier Inc. All rights reserved.

引用

页码：548 / 558

页数：11

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