Approximation of the Besov classes of periodic functions of several variables in the space \(L_ q\)
From MaRDI portal
Publication:1181633
DOI10.1007/BF01061817zbMath0782.42022MaRDI QIDQ1181633
Publication date: 27 June 1992
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Best approximation, Chebyshev systems (41A50) Harmonic analysis in several variables (42B99) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items
Optimization of adaptive direct algorithms for approximate solution of integral equation ⋮ Gelfand numbers of embeddings of mixed Besov spaces ⋮ Kolmogorov widths of the Besov classes \(B^1_{1,\theta}\) and products of octahedra ⋮ The best trigonometric approximations and the Kolmogorov diameters of the Besov classes of functions of many variables ⋮ The best trigonometric and bilinear approximations for functions of many variables from the classes \(B^ r_{p,\theta}\). II ⋮ On orders of approximation functions of generalized smoothness in Lorentz spaces ⋮ Estimation of the entropy numbers and Kolmogorov widths for the Nikol'skii-Besov classes of periodic functions of many variables ⋮ Best approximations of periodic functions of several variables from the classes \(B_{p,\theta}^{\Omega}\) ⋮ Approximation of classes \(B_{p,\theta}^r\) of periodic functions of one and several variables ⋮ Estimates for widths of classes of periodic multivariable functions ⋮ Representation and approximation of multivariate functions with mixed smoothness by hyperbolic wavelets ⋮ Entropy numbers and widths for the classes \(B_{p,\theta}^r\) of periodic functions of many variables ⋮ Order estimates for the approximating characteristics of functions from the classes \(S_{p,\theta}^\Omega B(\mathbb{R}^d)\) with a given majorant of mixed modules of continuity in the uniform metric ⋮ Trigonometric and linear widths for the classes of periodic multivariate functions ⋮ Weyl numbers of embeddings of tensor product Besov spaces ⋮ Approximative characteristics of functions from the classes \( {S}_{p,\theta}^{\Omega } B(\mathbb R^d)\) with a given majorant of mixed moduli of continuity ⋮ On the problem of linear widths of the classes \(B_{p,\theta}^r\) of periodic functions of many variables ⋮ Estimation of the best bilinear approximations for the classes of \((\psi, \beta)\)-differentiable periodic multivariable functions ⋮ Estimates for certain approximation characteristics of Nikol'skii-Besov spaces with generalized mixed smoothness ⋮ Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz Spaces ⋮ Approximating characteristics of the Nikol'skii-Besov classes \({S}_{1,\theta}^rB({\mathbb{R}}^d) \) ⋮ Approximation of the classes of periodic functions of one and many variables from the Nikol'skii-Besov and Sobolev spaces
Cites Work
