• Title of article

    Markov- and Bernstein-Type Inequalities for Müntz Polynomials and Exponential Sums in Lp Original Research Article

  • Author/Authors

    Tamas Erdelyi، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2000
  • Pages
    11
  • From page
    142
  • To page
    152
  • Abstract
    The principal result of this paper is the following Markov-type inequality for Müntz polynomials. Theorem (Newmanʹs Inequality in Lp[a, b] for [a, b]⊂(0, ∞)).LetΛ≔(λj)∞j=0be an increasing sequence of nonnegative real numbers. Supposeλ0=0 and there exists aδ>0 so thatλj⩾δjfor each j. Suppose 00 does not seem to be obtainable in any straightforward fashion from the [0, b] case.
  • Keywords
    * Müntz polynomials , * exponential sums , * lacunary polynomials , * Dirichlet sums , * Markov-type inequality , * Bernstein-type inequality
  • Journal title
    Journal of Approximation Theory
  • Serial Year
    2000
  • Journal title
    Journal of Approximation Theory
  • Record number

    851819