Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian)

Exact-order estimates for the approximations of functions ofclasses $S^{Omega}_{p,{heta}}B(mathbb{R}^d)$ by entirefunctions with the spectrum of a special form in the space$L_q(mathbb{R}^d)$ for some relations between the parameters$p$ and $q$, are established.

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Bibliographic Details
Main Authors: V. V. Myroniuk, S. Ya. Yanchenko
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2013-07-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/texts/2013/39_2/190-202.pdf
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author V. V. Myroniuk
S. Ya. Yanchenko
author_facet V. V. Myroniuk
S. Ya. Yanchenko
author_sort V. V. Myroniuk
collection DOAJ
description Exact-order estimates for the approximations of functions ofclasses $S^{Omega}_{p,{heta}}B(mathbb{R}^d)$ by entirefunctions with the spectrum of a special form in the space$L_q(mathbb{R}^d)$ for some relations between the parameters$p$ and $q$, are established.
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institution Kabale University
issn 1027-4634
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publishDate 2013-07-01
publisher Ivan Franko National University of Lviv
record_format Article
series Математичні Студії
spelling doaj-art-acf152d6cf484b079fc798087c7d334b2025-08-20T03:35:25ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342013-07-01392190202Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian)V. V. MyroniukS. Ya. YanchenkoExact-order estimates for the approximations of functions ofclasses $S^{Omega}_{p,{heta}}B(mathbb{R}^d)$ by entirefunctions with the spectrum of a special form in the space$L_q(mathbb{R}^d)$ for some relations between the parameters$p$ and $q$, are established.http://matstud.org.ua/texts/2013/39_2/190-202.pdfapproximationfunctional classentire function
spellingShingle V. V. Myroniuk
S. Ya. Yanchenko
Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian)
Математичні Студії
approximation
functional class
entire function
title Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian)
title_full Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian)
title_fullStr Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian)
title_full_unstemmed Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian)
title_short Approximation of functions from generalized Nikol’skii– Besov classes by entire functions in Lebesgue spaces(in Ukrainian)
title_sort approximation of functions from generalized nikol skii besov classes by entire functions in lebesgue spaces in ukrainian
topic approximation
functional class
entire function
url http://matstud.org.ua/texts/2013/39_2/190-202.pdf
work_keys_str_mv AT vvmyroniuk approximationoffunctionsfromgeneralizednikolskiibesovclassesbyentirefunctionsinlebesguespacesinukrainian
AT syayanchenko approximationoffunctionsfromgeneralizednikolskiibesovclassesbyentirefunctionsinlebesguespacesinukrainian