On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces

DOI10.1007/s10476-018-0707-xzbMath1463.41065OpenAlexW2898454889WikidataQ129035612 ScholiaQ129035612MaRDI QIDQ5116225

Kuanysh A. Bekmaganbetov, Y. Toleugazy

Publication date: 24 August 2020

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj229

zbMATH Keywords

anisotropic Lorentz spaceanisotropic Nikol'skii-Besov classorthoprojection width

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (3)

Estimate for the order of orthoprojection width of the Nikol'skii-Besov class in the metric of anisotropic Lorentz spaces ⋮ Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol'skii-Besov spaces ⋮ Estimates of approximating characteristics and the properties of the operators of best approximation for the classes of periodic functions in the space \(B_{1,1}\)

Cites Work

• The ortho-diameters of Nikol'skii and Besov classes in the Lorentz spaces
• Orders of the orthoprojection widths of classes of periodic functions of one and of several variables
• Approximation of classes of periodic functions of several variables by nuclear operators
• Best trigonometric and bilinear approximations of classes of functions of several variables
• Approximation of function classes in spaces with mixed norm
• Best approximations and widths of classes of periodic functions of several variables
• Embedding theorems for anisotropic Besov spaces $ B_{\mathbf{pr}}^{\alpha\mathbf{q}}( \lbrack 0,2\pi)^n)$
• Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
• On the coefficients of multiple Fourier series in $ L_p$-spaces
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