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Volume 29, Issue 4
On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm

G. Akishev

Anal. Theory Appl., 29 (2013), pp. 358-372.

Published online: 2013-11

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  • 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.

  • AMS Subject Headings

42A10, 41A10

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COPYRIGHT: © Global Science Press

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@Article{ATA-29-358, author = {}, title = {On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm}, journal = {Analysis in Theory and Applications}, year = {2013}, volume = {29}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2013.v29.n4.5}, url = {http://global-sci.org/intro/article_detail/ata/4530.html} }
TY - JOUR T1 - On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm JO - Analysis in Theory and Applications VL - 4 SP - 358 EP - 372 PY - 2013 DA - 2013/11 SN - 29 DO - http://doi.org/10.4208/ata.2013.v29.n4.5 UR - https://global-sci.org/intro/article_detail/ata/4530.html KW - Lorentz space, Besov's class, approximation. AB -

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.

G. Akishev. (1970). On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm. Analysis in Theory and Applications. 29 (4). 358-372. doi:10.4208/ata.2013.v29.n4.5
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