On orders of approximation functions of generalized smoothness in Lorentz spaces

zbMath1438.41017arXiv1606.00700MaRDI QIDQ5232472

G. A. Akishev

Publication date: 12 September 2019

Full work available at URL: https://arxiv.org/abs/1606.00700

zbMATH Keywords

Lorentz spacehyperbolic crossapproximations of functionsNikol'skii-Besov class

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)

Cites Work

• Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness
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• Hyperbolic wavelet approximation
• Best approximations of periodic functions of several variables from the classes \(B_{p,\theta}^{\Omega}\)
• Approximation of multidimensional functions with a given majorant of mixed moduli of continuity
• Hyperbolic cross approximation. Lecture notes given at the courses on constructive approximation and harmonic analysis, Barcelona, Spain, May 30 -- June 3, 2016
• Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz Spaces
• Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
• On estimates of approximation characteristics of the Besov classes of periodic functions of many variables
• Approximation of classes of periodic functions of several variables
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