The De La Vallée Poussin sums of Fourier-Chebyshev rational integral operators and approximations to Poisson integrals on the segment

DOI10.1134/S0037446623010159OpenAlexW4322577128MaRDI QIDQ2687466

E. A. Rovba, P. G. Potseiko

Publication date: 2 March 2023

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

Full work available at URL: https://doi.org/10.1134/s0037446623010159

zbMATH Keywords

asymptotic estimatePoisson integralFourier seriesbest constantpointwise and uniform approximationDe La Vallée Poussin sumrational integral operator

Mathematics Subject Classification ID

Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx) Functions of a complex variable (30-XX)

Cites Work

• A method of approximation by rational functions on the real line
• Best approximations by rational functions with a fixed number of poles
• An estimate of the remainder of the Fourier series for differentiable functions
• Approximations on classes of Poisson integrals by Fourier-Chebyshev rational integral operators
• Solution of the Kolmogorov-Nikol'skii problem for the Poisson integrals of continuous functions
• Approximation of Poisson Integrals by de la Vallée Poussin Sums
• ON BEST APPROXIMATIONS BY RATIONAL FUNCTIONS WITH A FIXED NUMBER OF POLES
• Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
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