Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness

DOI10.1007/s10476-015-0305-0zbMath1349.41022OpenAlexW2204238990MaRDI QIDQ276457

Ya. Yanchenko, Sergei A. Stasyuk

Publication date: 3 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10476-015-0305-0

zbMATH Keywords

approximationgeneralized mixed smoothnessNikolskii-Besov type function classes

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Rate of convergence, degree of approximation (41A25)

Related Items (6)

Constructive sparse trigonometric approximations for the functions with generalized mixed smoothness ⋮ On orders of approximation functions of generalized smoothness in Lorentz spaces ⋮ A Bourgain–Brezis–Mironescu characterization of higher order Besov–Nikol^{\prime }skii spaces ⋮ 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 ⋮ Approximating characteristics of the Nikol'skii-Besov classes \({S}_{1,\theta}^rB({\mathbb{R}}^d) \)

Cites Work

• Spaces of functions of mixed smoothness from the decomposition point of view
• Properties of functions in the spaces \(\Lambda^r_{p,\theta}\)
• Representation and approximation of periodic functions of several variables with given mixed modulus of continuity
• 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
• Approximation of classes of periodic functions of several variables
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