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A New Characterization of Weighted Peetre K-Functionals

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Constructive Approximation Aims and scope

Abstract

The purpose of this paper is to present a characterization of certain types of generalized weighted Peetre K-functionals by means of a modulus of smoothness. This new modulus is based on the classical one taken on a certain linear transform of the function. A new modulus of smoothness which describes the best algebraic approximation is introduced.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, The Sofia University, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria

    Borislav R. Draganov

  2. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria

    Kamen G. Ivanov

Authors
  1. Borislav R. Draganov
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  2. Kamen G. Ivanov
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Correspondence to Borislav R. Draganov or Kamen G. Ivanov.

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Draganov, B., Ivanov, K. A New Characterization of Weighted Peetre K-Functionals. Constr Approx 21, 113–148 (2004). https://doi.org/10.1007/s00365-004-0574-5

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  • DOI: https://doi.org/10.1007/s00365-004-0574-5

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