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Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space L

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Abstract

We obtain asymptotic equalities for the upper bounds of approximations by interpolation trigonometric polynomials in the metric of the space L on classes of convolutions of periodic functions admitting a regular extension into a fixed strip of the complex plane.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. S. Serdyuk

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  1. A. S. Serdyuk
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Serdyuk, A.S. Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials in the Metric of the Space L. Ukrainian Mathematical Journal 54, 852–861 (2002). https://doi.org/10.1023/A:1021695716466

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