A sharp inequality of Markov type for polynomials associated with Laguerre weight

    Authors

    H. Carley; X. Li;R. N. Mohapatra

    Abbreviated Journal Title

    J. Approx. Theory

    Keywords

    Mathematics

    Abstract

    The best possible constant A(n) in an inequality of Markov type parallel tod/dx(e(-x)p(n)(x))parallel to([0,infinity)) less than or equal to Anparallel toe(-x)p(n)(x)parallel to([0,infinity)). where parallel to.parallel to([0,x)) denotes the sup-norm on the half real line [0, infinity) and p(n) is an arbitrary polynomial of degree at most n, is determined in terms of the weighted Chebyshev polynomials associated with the Laguerre weight e(-x) on [0, infinity). (C) 2001 Academic Press.

    Journal Title

    Journal of Approximation Theory

    Volume

    113

    Issue/Number

    2

    Publication Date

    1-1-2001

    Document Type

    Article

    Language

    English

    First Page

    221

    Last Page

    228

    WOS Identifier

    WOS:000173323900005

    ISSN

    0021-9045

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