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

DOI10.1007/S11253-022-02101-6zbMath1505.42003OpenAlexW4309775541MaRDI QIDQ2107800

I. V. Sokolenko, A. S. Serdyuk

Publication date: 5 December 2022

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

Full work available at URL: https://doi.org/10.1007/s11253-022-02101-6

zbMATH Keywords

\(2 \pi \)-periodic Weyl-Nagy differentiable functions

Mathematics Subject Classification ID

Trigonometric approximation (42A10)

Related Items (2)

Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness ⋮ Approximation of generalized Poisson integrals by interpolating trigonometric polynomials

Cites Work

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• Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces \(L_S\)
• Approximation of functions of high smoothness by Fourier sums
• Approximation by interpolation trigonometric polynomials on classes of periodic analytic functions
• Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness
• Approximation by interpolation trigonometric polynomials in metrics of the space \(L_p\) on the classes of periodic entire functions
• Uniform approximations by Fourier sums in classes of generalized Poisson integrals
• Approximation of differentiable functions by partial sums of their Fourier series
• Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions
• Approximation by Fourier sums in classes of differentiable functions with high exponents of smoothness
• Approximation of Classes of Analytic Functions by Fourier Sums in Uniform Metric
• Approximation of classes of analytic functions by Fourier sums in the metric of the space L p

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