Best trigonometric and bilinear approximations for the Besov classes of functions of many variables

DOI10.1007/BF01057714zbMath0887.42018MaRDI QIDQ4380909

A. S. Romanyuk

Publication date: 17 March 1998

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

zbMATH Keywords

Besov classesbest trigonometric approximationbilinear approximationfunctions of many variables

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric approximation (42A10) Harmonic analysis in several variables (42B99)

Related Items (4)

Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\) ⋮ Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables ⋮ Estimation of the best bilinear approximations for the classes of \((\psi, \beta)\)-differentiable periodic multivariable functions ⋮ Average widths and optimal recovery of multivariate Besov classes in \(L_p({\mathbf R}^d)\)

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