2019
Том 71
№ 8

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

Serdyuk A. S.

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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.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 12, pp 2014-2026.

Citation Example: Serdyuk A. S. Approximation of Infinitely Differentiable Periodic Functions by Interpolation Trigonometric Polynomials in Integral Metric // Ukr. Mat. Zh. - 2001. - 53, № 12. - pp. 1654-1663.

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