Title

Local approximation by Beta operators

Authors

Authors

U. Abel; V. Gupta;R. N. Mohapatra

Comments

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Abbreviated Journal Title

Nonlinear Anal.-Theory Methods Appl.

Keywords

approximation by positive operators; rate of convergence; degree of; approximation; functions of bounded variation; total variation; asymptotic expansions; Mathematics, Applied; Mathematics

Abstract

The present paper deals with the Beta approximation operators. We obtain an estimate on the rate of convergence for functions of bounded variation by means of the decomposition technique. Furthermore we derive the complete asymptotic expansion of the sequence ((L(n)f)(x))(∞)(n=1) for smooth functions as n tends to infinity. © 2005 Elsevier Ltd. All rights reserved.

Journal Title

Nonlinear Analysis-Theory Methods & Applications

Volume

62

Issue/Number

1

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

41

Last Page

52

WOS Identifier

WOS:000229527500003

ISSN

0362-546X

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