2019
Том 71
№ 11

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

Serdyuk A. S.

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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