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

DOI10.1007/s10958-020-05178-1zbMath1462.41013arXiv2008.01450OpenAlexW3119798437WikidataQ114225235 ScholiaQ114225235MaRDI QIDQ2226904

A. S. Serdyuk, I. V. Sokolenko

Publication date: 9 February 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.01450

zbMATH Keywords

asymptotic equalitybest approximationKolmogorov-Nikol'skii problemFourier sumWeyl-Nagy class\((\psi\overline{\beta})\)-integral

Mathematics Subject Classification ID

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

Related Items (1)

Approximation by Fourier sums in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness

Cites Work

• Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity
• Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\)
• \(L\)-approximation of a linear combination of the Poisson kernel and its conjugate kernel by trigonometric polynomials
• Widths of classes of convolutions with Poisson kernel
• Approximation of functions of high smoothness by Fourier sums
• Uniform approximations by Fourier sums in classes of generalized Poisson integrals
• Approximation by fourier sums and best approximations on classes of analytic functions
• On the best approximation of classes of convolutions of periodic functions by trigonometric polynomials
• Approximation by Fourier sums in classes of differentiable functions with high exponents of smoothness
• Best Approximations and Widths of Classes of Convolutions of Periodic Functions of High Smoothness
• Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric
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