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 andBesov's class are considered. We establish an exact approximationorder of Besov's class by partial sums of Fourier's series formultiple trigonometric system.

  • Keywords

Lorentz space Besov's class approximation

  • AMS Subject Headings

42A10 41A10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-29-358, author = {G. Akishev}, 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 andBesov's class are considered. We establish an exact approximationorder of Besov's class by partial sums of Fourier's series formultiple 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} }
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