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Approximation of Infinitely Differentiable Periodic Functions by Interpolation Trigonometric Polynomials in Integral Metric

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Abstract

We obtain asymptotic equalities for the upper bounds of approximations of periodic infinitely differentiable functions by interpolation trigonometric polynomials in the metric of L 1 on the classes of convolutions.

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  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 Infinitely Differentiable Periodic Functions by Interpolation Trigonometric Polynomials in Integral Metric. Ukrainian Mathematical Journal 53, 2014–2026 (2001). https://doi.org/10.1023/A:1015490906892

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