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On the Asymptotically Optimal Rate of Approximation of Multiplier Operators from L p into L q

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Constructive Approximation Aims and scope

Abstract.

The asymptotic behavior of the n -widths of multiplier operators from L p [0,1] into L q [0,1] is studied. General upper and lower bounds for the n -widths in terms of the multipliers are established. Moreover, it is shown that these upper and lower bounds coincide for some important concrete examples.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences Kiev 4, Repin Street 3, Ukrainia

    A. K. Kushpel

  2. Department of Mathematics and Computer Science, University of Leicester Leicester LE1 7RH England, UK

    J. Levesley

  3. Mathematisches Seminar der Landwirtschaftlichen Fakultät Rheinische Friedrich—Wilhelms Universität Bonn Nußallee 15 53115 Bonn Germany, DE

    K. Wilderotter

Authors
  1. A. K. Kushpel
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  2. J. Levesley
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  3. K. Wilderotter
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Additional information

August 3, 1994. Date revised: November 15, 1996.

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Kushpel, A., Levesley, J. & Wilderotter, K. On the Asymptotically Optimal Rate of Approximation of Multiplier Operators from L p into L q . Constr. Approx. 14, 169–185 (1998). https://doi.org/10.1007/s003659900068

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  • DOI: https://doi.org/10.1007/s003659900068

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