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Approximation by Rational Operators in Lp Spaces

Yu, Dansheng and Zhou, Songping (2006) Approximation by Rational Operators in Lp Spaces. [Preprint]

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    Abstract

    The present paper introduces a kind of Kantorovich type Shepard operators. Complete results including direct and converse results, equivalence results are established. As Della Vecchia and Mastroianni ([4], [7]) did, our results involve a weighted modulus of smoothness related to step-functions \theta(x) vanishing algebraically at the endpoints \pm 1.

    Item Type: Preprint
    Additional Information: pubdom FALSE
    Uncontrolled Keywords: Rational operators, approximation rates, Lp spaces, AARMS
    Subjects: 41-xx Approximations and expansions > 41Axx Approximations and expansions
    Faculty: UNSPECIFIED
    Depositing User: lingyun ye
    Date Deposited: 09 Jul 2007
    Last Modified: 27 Apr 2010 16:38
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/363

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