Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals

DOI10.2298/FIL2014697SzbMath1499.42013arXiv1908.09517OpenAlexW3151406133MaRDI QIDQ5081365

A. S. Serdyuk, Tetiana A. Stepanyuk

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09517

zbMATH Keywords

Fourier sumsLebesgue-type inequalitiesgeneralized Poisson integralsbest approximations by trigonometric polynomials

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric polynomials, inequalities, extremal problems (42A05)

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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