Local approximation by Beta operators

    Authors

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

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    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

    Share

    COinS