On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm

On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm

Year:    2013

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 358–372

Abstract

In this paper, Lorentz space of functions of several variables and Besov's class are considered. We establish an exact approximation order of Besov's class by partial sums of Fourier's series for multiple trigonometric system.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2013.v29.n4.5

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 4 : pp. 358–372

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Lorentz space Besov's class approximation.