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Approximation by fourier sums and best approximations on classes of analytic functions

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Abstract

We establish asymptotic equalities for upper bounds of approximations by Fourier sums and for the best approximations in the metrics of C and L1 on classes of convolutions of periodic functions that can be regularly extended into a fixed strip of the complex plane.

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Authors and Affiliations

  1. Institute of Mathematics, Ukranian Academy of Sciences, kiev

    A. I. Stepanets’ & A. S. Serdyuk

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  1. A. I. Stepanets’
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  2. A. S. Serdyuk
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Stepanets’, A.I., Serdyuk, A.S. Approximation by fourier sums and best approximations on classes of analytic functions. Ukr Math J 52, 433–456 (2000). https://doi.org/10.1007/BF02513138

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  • DOI: https://doi.org/10.1007/BF02513138

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