The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis in several variables (42B99) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (6)

Gelfand numbers of embeddings of mixed Besov spaces ⋮ Estimates for the Kolmogorov widths of the Nikol'skii-Besov-Amanov classes in the Lorentz space ⋮ The best \(M\)-term trigonometric approximations of the classes of periodic multivariate functions with bounded generalized derivative in the space \(L_q\) ⋮ Bernstein numbers of embeddings of isotropic and dominating mixed Besov spaces ⋮ The best trigonometric and bilinear approximations for functions of many variables from the classes \(B^ r_{p,\theta}\). II ⋮ Weyl numbers of embeddings of tensor product Besov spaces

Cites Work

Approximation of the Besov classes of periodic functions of several variables in the space \(L_ q\)
[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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