On the maximum value of Jacobi polynomials

  • Authors:
  • Ilia Krasikov

  • Affiliations:
  • Department of Mathematical Sciences, Brunel University, Uxbridge UB8 3PH, UK

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2005

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Abstract

A remarkable inequality, with utterly explicit constants, established by Erdelyi, Magnus, and Nevai, states that for @a=@b-12, the orthonormal Jacobi polynomials P"k^(^@a^,^@b^)(x) satisfymax|x|=