Sharp estimates of the constants of equivalence between integral moduli of smoothness and \(K\)-functionals in the multivariate case

DOI10.1007/s00365-009-9044-4zbMath1202.41020OpenAlexW2031858904MaRDI QIDQ1959701

I. V. Kachkovskiy, Lubomir Dechevski

Publication date: 7 October 2010

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-009-9044-4

zbMATH Keywords

Sobolev spaceHilbert spaceLebesgue spacemultivariate approximationLaplace operatorLie groupspectral measureHaar measureinvariant metricshift operatorsharp constantembedding constantequivalence constant

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear symmetric and selfadjoint operators (unbounded) (47B25) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation between normed linear spaces (46B70) Best constants in approximation theory (41A44)

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