Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\)

DOI10.1016/j.jat.2011.06.008zbMath1232.41034OpenAlexW2017862892MaRDI QIDQ643346

A. S. Serdyuk, I. V. Sokolenko

Publication date: 28 October 2011

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.06.008

zbMATH Keywords

Poisson kernelmodules of continuityKolmogorov widthbest uniform approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50)

Related Items (5)

Asymptotic equalities for best approximations for classes of infinitely differentiable functions defined by the modulus of continuity ⋮ Approximations on classes of Poisson integrals by Fourier-Chebyshev rational integral operators ⋮ Exact values of Kolmogorov widths of classes of Poisson integrals ⋮ Unnamed Item ⋮ Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Widths of classes of convolutions with Poisson kernel
• Complexity of approximation problems
• Solution of the Kolmogorov-Nikol'skii problem for the Poisson integrals of continuous functions
• Approximation of Poisson integrals by one linear approximation method in uniform and integral metrics
• LOWER ESTIMATES OF THE WIDTHS OF CLASSES OF FUNCTIONS DEFINED BY A MODULUS OF CONTINUITY
• Best approximations of classes of functions defined by means of the modulus of continuity

This page was built for publication: Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\)