Approximation of function classes in spaces with mixed norm

DOI10.1070/SM2006V197N08ABEH003791zbMath1158.46021OpenAlexW2076575943MaRDI QIDQ3508656

G. A. Akishev

Publication date: 1 July 2008

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2006v197n08abeh003791

zbMATH Keywords

trigonometric polynomialsLorentz spacesBesov classesapproximation of function classes

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by polynomials (41A10)

Related Items (5)

On the Order of the Trigonometric Diameter of the Anisotropic Nikol’skii–Besov Class in the Metric of Anisotropic Lorentz Spaces ⋮ On approximation orders of functions of several variables in the Lorentz space ⋮ Some Problems in Fourier Analysis and Approximation Theory ⋮ Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz Spaces ⋮ Interpolations of mixed-norm function spaces

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