Exact values of Kolmogorov widths of classes of Poisson integrals

DOI10.1016/j.jat.2013.05.002zbMath1283.41023arXiv1212.3364OpenAlexW2039432432MaRDI QIDQ390537

V. V. Bodenchuk, A. S. Serdyuk

Publication date: 8 January 2014

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

Full work available at URL: https://arxiv.org/abs/1212.3364

zbMATH Keywords

best approximationKolmogorov widths\(SK\)-splinesPoisson integrals

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (3)

Exact values of Kolmogorov widths for the classes of analytic functions. I ⋮ Upper bounds for uniform Lebesgue constants of interpolation periodic sourcewise representable splines ⋮ Exact values of Kolmogorov widths for the classes of analytic functions. II

Cites Work

• Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\)
• Widths of classes of convolutions with Poisson kernel
• Bounds from below and diameters of classes of periodic functions with a bounded fractional derivative
• Letter to the editor: Diameters and quadrature formulas on periodic function classes, conjugate to the Sobolev classes
• Lower estimates for the widths of classes of sourcewise representable functions
• Estimates of the diameters of convolution classes in the spaces C and L
• Lower bounds for widths of classes of convolutions of periodic functions in the metrics ofC andL
• LOWER ESTIMATES OF THE WIDTHS OF CLASSES OF FUNCTIONS DEFINED BY A MODULUS OF CONTINUITY
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