An Inequality Concerning Polynomial Norms and Their Coefficients

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Abstract

In this paper, lower bounds are given for the norm of a 2-homogeneous polynomial on Banach spaces lp and c0. For this, an inequality is obtained which bounds from below the mean value of the polynomial on the vertexes of a hypercube in Rn.

Original languageEnglish
Pages (from-to)277-283
Number of pages7
JournalIndian Journal of Pure and Applied Mathematics
Volume29
Issue number3
StatePublished - 1998

Keywords

  • Banach spaces
  • Coefficients
  • Hypercube
  • Inequality
  • Polynomial norms

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