Approximation of the classes of generalized Poisson integrals by Fourier sums in metrics of the spaces \(L_S\)

DOI10.1007/S11253-017-1397-4zbMath1499.42014arXiv1612.03012OpenAlexW2567072569MaRDI QIDQ1729638

Xianqiang Yang

Publication date: 27 February 2019

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

Full work available at URL: https://arxiv.org/abs/1612.03012

zbMATH Keywords

upper boundsapproximations by Fourier sumsasymptotic equalitiesgeneralized Poisson integrals

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (4)

Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals ⋮ 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 ⋮ Approximation by Fourier sums in the classes of Weyl-Nagy differentiable functions with high exponent of smoothness

Cites Work

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• Uniform approximations by Fourier sums on classes of convolutions with generalized Poisson kernels
• Approximation of classes of analytic functions by Fourier sums in the metric of the space L p

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