Order of Approximation of Besov Classes in the Metric of Anisotropic Lorentz Spaces

DOI10.1007/978-3-319-27466-9_10zbMath1342.42002OpenAlexW2336711982MaRDI QIDQ2813541

Kuanysh A. Bekmaganbetov

Publication date: 24 June 2016

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27466-9_10

zbMATH Keywords

order of approximationmultiple Fourier seriesBesov classestrigonometric approximationanisotropic Lorentz spaces

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) Trigonometric approximation (42A10) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05)

Related Items (3)

On orders of approximation functions of generalized smoothness in Lorentz spaces ⋮ EESTIMATES OF BEST APPROXIMATIONS OF FUNCTIONS WITH LOGARITHMIC SMOOTHNESS IN THE LORENTZ SPACE WITH ANISOTROPIC NORM ⋮ Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force

Cites Work

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• Approximation of the Besov classes of periodic functions of several variables in the space \(L_ q\)
• Approximation of function classes in spaces with mixed norm
• Embedding theorems for anisotropic Besov spaces $ B_{\mathbf{pr}}^{\alpha\mathbf{q}}( \lbrack 0,2\pi)^n)$
• APPROXIMATION BY TRIGONOMETRIC POLYNOMIALS OF FUNCTIONS OF SEVERAL VARIABLES ON THE TORUS

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