Approximations on classes of Poisson integrals by Fourier-Chebyshev rational integral operators
DOI10.1134/S0037446621020099zbMath1460.42003OpenAlexW3144814886WikidataQ114075223 ScholiaQ114075223MaRDI QIDQ2661745
Publication date: 8 April 2021
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0037446621020099
Fourier seriesasymptotic estimatespointwise and uniform approximationaccurate constantsclass of Poisson integralsrational integral operators
Trigonometric approximation (42A10) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Best approximation, Chebyshev systems (41A50) Approximation by operators (in particular, by integral operators) (41A35)
Related Items (5)
Cites Work
- Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\)
- An approximation of \(| \sin \,x|\) by rational Fourier series
- An estimate of the remainder of the Fourier series for differentiable functions
- Solution of the Kolmogorov-Nikol'skii problem for the Poisson integrals of continuous functions
- Approximation of Classes of Analytic Functions by de la Vallée-Poussin Sums
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