scientific article

zbMath0749.42009MaRDI QIDQ3980965

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Publication date: 26 June 1992

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zbMATH Keywords

order of approximationtrigonometric polynomialsbest approximationseveral variablesperiodic functionsclass of Weyl

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Rate of convergence, degree of approximation (41A25)

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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 \(L_q\) ⋮ Constructive sparse trigonometric approximations for the functions with generalized mixed smoothness ⋮ Approximating characteristics of the classes \(L_{\beta,p}^\psi\) of periodic functions in the space \(L_q\) ⋮ Characteristics of the linear and nonlinear approximations of the Nikol'skii-Besov-type classes of periodic functions of several variables ⋮ On estimates of the order of the best M-term approximations of functions of several variables in the anisotropic Lorentz-Zygmund space ⋮ On estimates of \(m\)-term approximations on classes of functions with bounded mixed derivative in the Lorentz space ⋮ Estimates of the best orthogonal trigonometric approximations and orthoprojective widths of the classes of periodic functions of many variables in a uniform metric ⋮ Best trigonometric and bilinear approximations for the classes of \((\psi,\beta)\)-differentiable periodic functions ⋮ Best \(m\)-term trigonometric approximation for periodic functions with low mixed smoothness from the Nikol'skii-Besov-type classes ⋮ Kolmogorov widths and bilinear approximations of the classes of periodic functions of one and many variables ⋮ Estimation of the best bilinear approximations for the classes of \((\psi, \beta)\)-differentiable periodic multivariable functions ⋮ Best orthogonal trigonometric approximations of the Nikol'skii-Besov-type classes of periodic functions in the space \(B_{ \infty ,1}\) ⋮ Approximation of the classes of periodic functions of one and many variables from the Nikol'skii-Besov and Sobolev spaces

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