On Approximation of Function Classes in Lorentz Spaces with Anisotropic Norm
Anal. Theory Appl., 29 (2013), pp. 358-372.
Published online: 2013-11
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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 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
AU - G. Akishev
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. (2013). 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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