The best trigonometric and bilinear approximations for functions of many variables from the classes \(B^ r_{p,\theta}\). II

DOI10.1007/BF01571092zbMath0819.42011MaRDI QIDQ1344973

A. S. Romanyuk

Publication date: 9 March 1995

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

zbMATH Keywords

Besov spacebest trigonometric approximationKolmogorov widthbilinear approximationtrigonometric width

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) Harmonic analysis in several variables (42B99)

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The best \(M\)-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space \(L_q\) ⋮ Best trigonometric and bilinear approximations for the classes of \((\psi,\beta)\)-differentiable periodic functions ⋮ Estimation of the best bilinear approximations for the classes of \((\psi, \beta)\)-differentiable periodic multivariable functions

Cites Work

• Approximation of the Besov classes of periodic functions of several variables in the space \(L_ q\)
• The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables
• [https://portal.mardi4nfdi.de/wiki/Publication:3138196 Best trigonometric and bilinear approximations of functions of several variables from the classes Bp,?r� I]
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