Best trigonometric and bilinear approximations of functions of several variables from the classes Bp,?r� I

DOI10.1007/BF01071517zbMath0793.42009MaRDI QIDQ3138196

A. S. Romanyuk

Publication date: 13 March 1994

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

zbMATH Keywords

trigonometric polynomialsbest approximationmixed smoothnessBesov-Nikolskij space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Multidimensional problems (41A63) Fourier series and coefficients in several variables (42B05)

Related Items (5)

The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables ⋮ The best \(M\)-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space \(L_q\) ⋮ The best trigonometric and bilinear approximations for functions of many variables from the classes \(B^ r_{p,\theta}\). II ⋮ 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

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