Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
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Publication:1966213
DOI10.1007/BF02675013zbMath0949.42018OpenAlexW1981326115MaRDI QIDQ1966213
Publication date: 29 November 2000
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02675013
Kolmogorov widthsmixed modulus of continuitybest approximation of functions by trigonometric polynomialsexact order upper bounds
Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Harmonic analysis in several variables (42B99) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (16)
Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness ⋮ Constructive sparse trigonometric approximations for the functions with generalized mixed smoothness ⋮ On orders of approximation functions of generalized smoothness in Lorentz spaces ⋮ Estimates of approximative characteristics of the classes \(B_{p,\theta}^\Omega\) of periodic functions of many variables with given majorant of mixed continuity moduli in the space \(L_\infty\) ⋮ On best approximations by analogs of ``proper and ``improper hyperbolic crosses ⋮ Inequalities of Bernstein and Jackson-Nikol'skii type and estimates of the norms of derivatives of Dirichlet kernels ⋮ On reconstruction of multiplicative transformations of functions in anisotropic spaces ⋮ Nonlinear wavelet approximation of periodic function classes with generalized mixed smoothness ⋮ Best approximations of periodic functions of several variables from the classes \(B_{p,\theta}^{\Omega}\) ⋮ 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 ⋮ Approximative characteristics of functions from the classes \( {S}_{p,\theta}^{\Omega } B(\mathbb R^d)\) with a given majorant of mixed moduli of continuity ⋮ Approximation of the classes \(H_p^\omega\) of periodic functions of many variables in the space \(L_p\) ⋮ Estimates of the Fourier widths of the classes of periodic functions with given majorant of the mixed modulus of smoothness ⋮ Estimates of approximative characteristics of the classes $B^{\Omega}_{p,\theta}$ of periodic functions of several variables with given majorant of mixed moduli of continuity in the space $L_{q}$ ⋮ Estimates of the approximation characteristics of the classes \(B_{p,\theta}^\Omega\) of periodic functions of several variables with given majorant of mixed moduli of continuity ⋮ Approximating characteristics of the Nikol'skii-Besov classes \({S}_{1,\theta}^rB({\mathbb{R}}^d) \)
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