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Approximation of Periodic Analytic Functions by Interpolation Trigonometric Polynomials

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Abstract

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

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  1. Institute of Mathematics, Ukrainian 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 of Periodic Analytic Functions by Interpolation Trigonometric Polynomials. Ukrainian Mathematical Journal 52, 1928–1941 (2000). https://doi.org/10.1023/A:1010412111469

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