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;Dept. of Appl. Math., Illinois Inst. of Technol., Chicago, IL and Dept. of Math. Peking Univ.--Hong Kong Baptist Univ. Joint Research Inst. for Appl. Math., Hong Kong Baptist Univ. Kowloon Tong, H ...;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.