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Contemporary Mathematics. Fundamental Directions, 2007, Volume 25, Pages 58–79 (Mi cmfd106)  
This article is cited in 5 scientific papers (total in 5 papers)

On a Norm and Approximate Characteristics of Classes of Multivariable Functions

B. S. Kashina, V. N. Temlyakovb

a Steklov Mathematical Institute, Russian Academy of Sciences
b University of South Carolina
Full-text PDF (274 kB) Citations (5) English version article
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Abstract: We introduce a space of quasicontinuous functions and study its approximate characteristics, i.e., $\varepsilon$-entropy and widths. We establish inequalities for norms of trigonometric polynomials in this space. Besides, we obtain exponents of $\varepsilon$-entropy and widths of some classes of functions with low smoothness.
English version:
Journal of Mathematical Sciences, 2008, Volume 155, Issue 1, Pages 57–80
DOI: https://doi.org/10.1007/s10958-008-9208-y
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. S. Kashin, V. N. Temlyakov, “On a Norm and Approximate Characteristics of Classes of Multivariable Functions”, Theory of functions, CMFD, 25, PFUR, M., 2007, 58–79; Journal of Mathematical Sciences, 155:1 (2008), 57–80
Citation in format AMSBIB
\Bibitem{KasTem07}
\by B.~S.~Kashin, V.~N.~Temlyakov
\paper On a Norm and Approximate Characteristics of Classes of Multivariable Functions
\inbook Theory of functions
\serial CMFD
\yr 2007
\vol 25
\pages 58--79
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd106}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2342538}
\zmath{https://zbmath.org/?q=an:1167.26311}
\elib{https://elibrary.ru/item.asp?id=13597313}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 155
\issue 1
\pages 57--80
\crossref{https://doi.org/10.1007/s10958-008-9208-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-55749106743}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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