Approximation on anisotropic Besov classes with mixed norms by standard information

  • Authors:

  • Gensun Fang;Fred J. Hickernell;Huan Li

  • Affiliations:

  • Department of Mathematics, Beijing Normal University, Beijing 100875, China;Department of Applied Mathematics, Illinois Institute of Technology, 10 West 32nd Street, E1 Building, Room 208, Chicago, IL 60616-3793, USA and Department of Mathematics, Peking University---Hong ...;Department of Mathematics, Beijing Normal University, Beijing 100875, China

  • Venue:
  • Journal of Complexity
  • Year:
  • 2005

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Abstract

This article considers the approximation problem on periodic functions of anisotropic Besov classes with mixed norms using standard information. The asymptotic decay rates of the best algorithms in the worst-case setting are determined. An interpolating algorithm that attains this decay rate is given as well.