Best orthogonal trigonometric approximations of the Nikol'skii-Besov-type classes of periodic functions in the space \(B_{ \infty ,1}\)
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Publication:2107813
DOI10.1007/s11253-022-02115-0OpenAlexW4309883759MaRDI QIDQ2107813
P. V. Zaderei, Svitlana Borysivna Hembars'ka
Publication date: 5 December 2022
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-022-02115-0
Harmonic analysis in one variable (42Axx) Approximations and expansions (41Axx) Harmonic analysis in several variables (42Bxx)
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- Best trigonometric approximations for some classes of periodic functions of several variables in the uniform metric
- Spaces of functions of mixed smoothness from the decomposition point of view
- Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
- Entropy numbers and widths for the classes \(B_{p,\theta}^r\) of periodic functions of many variables
- Widths of the classes \( {B}_{p,\theta}^{\Omega } \) of periodic functions of many variables in the space \(B_{1,1}\)
- Approximation of classes of functions of many variables by their orthogonal projections onto subspaces of trigonometric polynomials
- Estimation of some approximating characteristics of the classes of periodic functions of one and many variables
- Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space \(B_{1,1}\)
- Approximating characteristics of the classes of periodic multivariate functions in the space \(B_{ \infty , 1} \)
- The best approximations and widths of the classes of periodical functions of one and several variables in the space \(B_{\infty, 1}\)
- Approximative characteristics of the Nikol'skii-Besov-type classes of periodic functions in the space $B_{\infty,1}$
- Bilinear and trigonometric approximations of periodic functions of several variables of Besov classes $ B_{p, \theta}^r$
- Approximation of classes of periodic functions of several variables
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