On one rational integral operator of Fourier-Chebyshev type and approximation of Markov functions
E. A. Rovba, K. Smatrytski, P. G. Patseika
Publication date: 22 January 2025
Published in: Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika (Search for Journal in Brave)
asymptotic estimateMarkov functionbest approximationexact constantmajorant of uniform approximationChebyshev-Markov rational functionintegral rational operator of Fourier type
Trigonometric approximation (42A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Rational approximation of Stieltjes functions by the Carathéodory-Fejér method
- Best approximations by rational functions with a fixed number of poles
- An approximation of \(| \sin \,x|\) by rational Fourier series
- Best rational approximation to Markov functions
- Sur la détermination d'une classe de fonctions analytiques par leurs valeurs dans un ensemble donné de points.
- On the orthogonal functions and a new formula of interpolation.
- Sur la valeur asymptotique de la meilleure approximation des fonctions analytiques admettant des singularités données.
- Uniform approximations of Stieltjes functions by orthogonal projection on the set of rational functions
- On a system of rational Chebyshev-Markov fractions
- On rational approximation of Markov functions on finite sets
- Rational approximations of functions of Markov-Stieltjes type in Hardy spaces \(H^p\), \(0 < p \leq \infty\)
- Constants in the approximation of \(|x|\) using the rational interpolation processes
- Asymptotic error for \(L^2\) best rational approximants to Markov functions
This page was built for publication: On one rational integral operator of Fourier-Chebyshev type and approximation of Markov functions
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6669599)
