The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties

DOI10.1134/s0037446624010129OpenAlexW4391620229MaRDI QIDQ6193925

Unnamed Author, Unnamed Author

Publication date: 14 February 2024

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

Full work available at URL: https://doi.org/10.1134/s0037446624010129

zbMATH Keywords

Lebesgue constantsasymptotic estimatesbest constantsfunctions of Lipschitz classFourier-Chebyshev rational integral operatorsRiesz-Zygmund sums

Mathematics Subject Classification ID

Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx) Asymptotic theory for ordinary differential equations (34Exx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Embedding theorems for Boas classes
• Best approximations by rational functions with a fixed number of poles
• Approximation of periodic functions by Zygmund means
• Approximation of the function \(| x|\) by rational functions
• The Bernstein constant and polynomial interpolation at the Chebyshev nodes.
• On the asymptotics of polynomial interpolation to \(|x|^{\alpha}\) at the Chebyshev nodes
• Conjugate rational Fourier-Chebyshev operator and its approximation properties
• Asymptotic methods in mechanics of solids
• Rational approximation to \(|x|\)
• The approximation of functions by typical means of their Fourier series
• Approximations on classes of Poisson integrals by Fourier-Chebyshev rational integral operators
• Several Questions of Approximation by Polynomials with Respect to Multiplicative Systems in Weighted Lp Spaces
• ON THE APPROXIMATION OF $ x^\alpha$ BY RATIONAL FUNCTIONS
• BEST UNIFORM RATIONAL APPROXIMATION OF $ \vert x\vert$ ON $ \lbrack-1,\,1\rbrack$
• Best uniform rational approximation of 𝑥^{𝛼} on [0,1]
• Rational approximation tox α
• The approximation of continuous functions by Riesz typical means of their Fourier series
• ASYMPTOTICS FOR LEAST DEVIATION OF $ \vert x\vert$ FROM RATIONAL FUNCTIONS
• ON BEST APPROXIMATIONS BY RATIONAL FUNCTIONS WITH A FIXED NUMBER OF POLES

This page was built for publication: The Riesz-Zygmund sums of Fourier-Chebyshev rational integral operators and their approximation properties