Operators constructed by means of q-Lagrange polynomials and A-statistical approximation

被引：54

作者：

Mursaleen, M. ^{[1
]}

Khan, Asif ^{[1
]}

Srivastava, H. M. ^{[2
]}

Nisar, K. S. ^{[1
]}

机构：

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

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 12期

关键词：

Lagrange polynomial; q-Lagrange polynomial; Chan-Chyan-Srivastava polynomial; A-statistical convergence; Positive linear operators; Modulus of continuity; Lipschitz class; Rate of A-statistical convergence; Q-ANALOG; SUMMABILITY;

D O I：

10.1016/j.amc.2013.01.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we construct some positive linear operators by means of q-Lagrange polynomials and prove some approximation results via A-statistical convergence. We also define and study the rate of A-statistical approximation of these operators by using the notion of modulus of continuity and Lipschitz class. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：6911 / 6918

页数：8

共 23 条

[1]

Altin A, 2006, TAIWAN J MATH, V10, P1131

[2]

[Anonymous], 1993, Analysis

[3]

[Anonymous], 2011, ANN U FERRARA SEZ 7, DOI DOI 10.1007/S11565-011-0122-8

[4] On the q analogue of Stancu-Beta operators [J].

Aral, Ali ;

Gupta, Vijay .

APPLIED MATHEMATICS LETTERS, 2012, 25 (01) :67-71

[5] Bleimann, Butzer, and Hahn operators based on the q-integers [J].

Aral, Ali ;

Dogru, Oguen .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2007, 2007 (1)

[6] STATISTICAL A-SUMMABILITY OF DOUBLE SEQUENCES AND A KOROVKIN TYPE APPROXIMATION THEOREM [J].

Belen, Cemal ;

Mursaleen, Mohammad ;

Yildirim, Mustafa .

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (04) :851-861

[7] The Lagrange polynomials in several variables [J].

Chan, WCC ;

Chyan, CJ ;

Srivastava, HM .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2001, 12 (02) :139-148

[8] Korovkin type approximation theorems obtained through generalized statistical convergence [J].

Edely, Osama H. H. ;

Mohiuddine, S. A. ;

Noman, Abdullah K. .

APPLIED MATHEMATICS LETTERS, 2010, 23 (11) :1382-1387

[9] Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials [J].

Erkus, Esra ;

Duman, Oktay ;

Srivastava, H. M. .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) :213-222

[10] Statistical approximation properties of q-Bleimann, Butzer and Hahn operators [J].

Ersan, Sibel ;

Dogru, Ogun .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) :1595-1606

← 1 2 3 →