Some approximation properties of a kind of q-Gamma-Stancu operators

被引：10

作者：

Zhao, Chong ^{[1
]}

Cheng, Wen-Tao ^{[2
]}

Zeng, Xiao-Ming ^{[2
]}

机构：

[1] Xiamen Univ, Dept Comp Sci, Xiamen 361005, Peoples R China

[2] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

q-Gamma-Stancu operators; approximation theorem; weighted approximation; rate of convergence; CONVERGENCE;

D O I：

10.1186/1029-242X-2014-94

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose the Stancu type generalization of a kind of q-Gamma operators. We estimate the moments of these operators and establish two direct and local approximation theorems of the operators. We also obtain the estimates of the rate of convergence and the weighted approximation of the operators. Furthermore, we present a Voronovskaya type asymptotic formula.

引用

页数：13

共 15 条

[1]

[Anonymous], 1990, ENCY MATH ITS APPL

[2]

[Anonymous], 1992, CONT MATH

[3]

Aral A., 2013, Applications of -Calculus in Operator Theory, DOI [10.1007/978-1-4614-6946-9, DOI 10.1007/978-1-4614-6946-9]

[4] On the convergence of a kind of q-gamma operators [J].

Cai, Qing-Bo ;

Zeng, Xiao-Ming .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[5]

De Sole A., 2005, ATTI ACCAD NAZ SFMN, V16, P11

[6]

DeVore R. A., 1993, Constructive Approximation

[7] THEOREMS OF KOROVKIN TYPE [J].

GADZHIEV, AD .

MATHEMATICAL NOTES, 1976, 20 (5-6) :995-998

[8]

Gupta V, 2014, CONVERGENCE ESTIMATE, VVIII

[9]

Jackson F.H., 1910, Q. J. Pure Appl. Math, V41, P193, DOI DOI 10.1017/S0080456800002751

[10]

Kac V. G., 2002, Quantum Calculus, V113

← 1 2 →