Interpolation estimates for entropy numbers with applications to non-convex bodies

  • Authors:

  • Mieczysław Mastyło

  • Affiliations:

  • Faculty of Mathematics & Comp. Sci., A. Mickiewicz University, and Institute of Mathematics, Polish Academy of Science (Poznańń branch), Umultowska 87, 61-614 Poznań, Poland

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2010

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Abstract

We complement classical results on the interpolation of entropy numbers as well as certain s-numbers and present an application to a class of non-convex bodies which are generalizations of p-convex bodies. In particular we apply the estimates of entropy numbers of operators on Calderon-Lozanovskii spaces to approximation of the volume of @f-absolute convex hull of n points in R^k generated by a class of concave functions.