Widths of classes of convolutions with Poisson kernel

DOI10.1007/BF01263308zbMath0836.41018OpenAlexW2076058879MaRDI QIDQ1316885

Valerii T. Shevaldin

Publication date: 12 April 1994

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

Full work available at URL: https://doi.org/10.1007/bf01263308

zbMATH Keywords

Poisson kernelKolmogorov widthperiodic \(SK\)-splines

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (5)

Sharp inequalities for approximations of convolution classes on the real line as the limit case of inequalities for periodic convolutions ⋮ Exact values of Kolmogorov widths of classes of Poisson integrals ⋮ Asymptotic behavior of best approximations of classes of Poisson integrals of functions from \(H_\omega\) ⋮ Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness ⋮ On the existence of interpolating \(SK\)-splines

Cites Work

• Functions of exponential type
• On n-widths of periodic functions
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