Full length article: Best m-term trigonometric approximation of periodic functions of several variables from Nikol'skii-Besov classes for small smoothness

  • Authors:
  • Serhii A. Stasyuk

  • Affiliations:
  • -

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2014

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Abstract

We find the asymptotic orders of best m-term trigonometric approximation for Nikol'skii-Besov classes B"p","@q^r of periodic functions of several variables in the space L"q, 1@?p@?2