A certain family of summation-integral type operators

被引：114

作者：

Srivastava, HM ^{[1
]}

Gupta, V

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada

[2] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110045, India

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2003年 / 37卷 / 12-13期

关键词：

linear positive operators; locally integrable functions; bounded variation; total variation; rate of convergence; sharp bound;

D O I：

10.1016/S0895-7177(03)90042-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the present paper, the authors introduce and investigate a new sequence of linear positive operators G(n,c), which includes some well-known operators as its special cases. The results obtained here include an estimate on the rate of convergence of G(n,c) (f, x) by means of the decomposition technique for functions of bounded variation. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1307 / 1315

页数：9

共 12 条

[1] Approximation of unbounded functions by a new sequence of linear positive operators [J].

Agrawal, PN ;

Thamer, KJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 225 (02) :660-672

[2] Convesity, complete monotonicity and inequalities on zeta and gamma functions, on functions of Baskov operators and on arithmetic functions [J].

Bastien, G ;

Rogalski, M .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2002, 54 (05) :916-944

[3] ON THE RATE OF CONVERGENCE OF THE DURRMEYER OPERATOR FOR FUNCTIONS OF BOUNDED VARIATION [J].

GUO, SS .

JOURNAL OF APPROXIMATION THEORY, 1987, 51 (02) :183-192

[4]

Gupta V., 1994, Approx. Theory and Its Appl., V10, P74

[5]

GUPTA V, 2003, COMPUTERS MATH APPL, V45

[6]

GUPTA V, IN PRESS NONLINEAR F

[7] PHILLIPS OPERATOR [J].

MAY, CP .

JOURNAL OF APPROXIMATION THEORY, 1977, 20 (04) :315-332

[8]

PHILLIPS RS, 1954, ANN MATH, V59, P352

[9]

WANG YK, 1991, B AUST MATH SOC, V44, P177

[10] On the rate of convergence of the generalized Szasz type operators for functions of bounded variation [J].

Zeng, XM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 226 (02) :309-325

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