Approximability of the classes $ B_{p,\theta}^r$ of periodic functions of several variables by linear methods and best approximations
From MaRDI portal
Publication:4658290
DOI10.1070/SM2004v195n02ABEH000801zbMath1074.46024OpenAlexW1989361496MaRDI QIDQ4658290
Publication date: 16 March 2005
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2004v195n02abeh000801
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis in several variables (42B99)
Related Items (12)
Estimation of the entropy numbers and Kolmogorov widths for the Nikol'skii-Besov classes of periodic functions of many variables ⋮ Best trigonometric approximations for some classes of periodic functions of several variables in the uniform metric ⋮ Approximation of functions from the classes \(S^R_{P,\theta}B\) in the uniform metric ⋮ Approximation of classes \(B_{p,\theta}^r\) of periodic functions of one and several variables ⋮ Spline interpolation on sparse grids ⋮ Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol'skii-Besov spaces ⋮ Approximate characteristics of the classes \({B}_{p,\theta}^{\Omega}\) of periodic functions of one variable and many ones ⋮ Approximation by quasi-interpolation operators and Smolyak's algorithm ⋮ Estimation of some approximating characteristics of the classes of periodic functions of one and many variables ⋮ 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 ⋮ Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space \(B_{1,1}\)
This page was built for publication: Approximability of the classes $ B_{p,\theta}^r$ of periodic functions of several variables by linear methods and best approximations
