The De La Vallée Poussin sums of Fourier-Chebyshev rational integral operators and approximations to Poisson integrals on the segment
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Publication:2687466
DOI10.1134/S0037446623010159OpenAlexW4322577128MaRDI QIDQ2687466
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
asymptotic estimatePoisson integralFourier seriesbest constantpointwise and uniform approximationDe La Vallée Poussin sumrational integral operator
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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