Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity

DOI10.1134/S0001434616050291zbMath1352.42006arXiv1212.2096MaRDI QIDQ325559

A. S. Serdyuk, I. V. Sokolenko

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2096

zbMATH Keywords

modulus of continuitytrigonometric polynomialsbest approximationgeneralized Poisson kernelinfinitely differentiable periodic functionsKolmogorov-Nikol'skii problemlinear approximation method

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50)

Related Items (1)

Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness

Cites Work

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• Classification of infinitely differentiable periodic functions
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