The best trigonometric and bilinear approximations for functions of many variables from the classes \(B^ r_{p,\theta}\). II
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Publication:1344973
DOI10.1007/BF01571092zbMath0819.42011MaRDI QIDQ1344973
Publication date: 9 March 1995
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Besov spacebest trigonometric approximationKolmogorov widthbilinear approximationtrigonometric width
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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