On q-analogue of Bernstein-Schurer-Stancu operators

被引：38

作者：

Agrawal, P. N. ^{[1
]}

Gupta, Vijay ^{[2
]}

Kumar, A. Sathish ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttar Pradesh, India

[2] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110078, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 14期

关键词：

q-Bernstein-Schurer-Stancu operators; q-integers; Modulus of smoothness; Rate of convergence;

D O I：

10.1016/j.amc.2013.01.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we introduce the Stancu type generalization of the Bernstein-Schurer operators based on q integers. First, we prove the basic convergence of S-n,p((alpha,beta))(., q, x) and then obtain the rate of convergence by these operators in terms of the modulus of continuity and Voronovskaja type theorem. Further, we study local and global direct results for the operators S-n,p((alpha,beta))(., q, x). (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：7754 / 7764

页数：11

共 11 条

[1] On q-analogue of a complex summation-integral type operators in compact disks
Agarwal, Ravi P.
Gupta, Vijay
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012, : 1 - 13
[2] [Anonymous], 1962, Math. Inst. Techn. Univ. Delft Report
[3] Derriennic MM, 2005, Rend Circ Mat Palermo Ser, V76, P269
[4] DeVore R. A., 1993, Constructive Approximation
[5] Ditzian Z., 1987, Springer Series in Computational Mathematics
[6] The rate of convergence of q-Durrmeyer operators for 0<q<1
Gupta, Vijay
Heping, Wang
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (16) : 1946 - 1955
[7] Some approximation properties of q-Durrmeyer operators
Gupta, Vijay
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (01) : 172 - 178
[8] Kac V., 2002, QUANTUM CALCULUS
[9] Muraru CV, 2011, STUD U BABES-BOL MAT, V56, P489
[10] Phillips G.M., 1997, Ann. Numer. Math, V4, P511

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