|
|
Tr. Mat. Inst. Steklova, 2010, Volume 269, Pages 242–253
(Mi tm2888)
|
 |
|
 |
This article is cited in 2 scientific papers (total in 2 papers)
Sharpening of the estimates for relative widths of classes of differentiable functions
Yu. N. Subbotina, S. A. Telyakovskiib
a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
b Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
Abstract:
We improve the earlier obtained upper estimates for the least value of the coefficient $M$ for which the Kolmogorov widths $d_n(W_C^r,C)$ of the function class $W_C^r$ are equal to the relative widths $K_n(W_C^r,MW_C^j,C)$ of the class $W_C^r$ with respect to the class $MW_C^j$, $j<r$.
 Full text:
PDF file (177 kB)
References:
PDF file
HTML file
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, 269, 235–246
Bibliographic databases:
    
UDC:
517.518.224
Received in October 2009
Citation:
Yu. N. Subbotin, S. A. Telyakovskii, “Sharpening of the estimates for relative widths of classes of differentiable functions”, Function theory and differential equations, Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday, Tr. Mat. Inst. Steklova, 269, MAIK Nauka/Interperiodica, Moscow, 2010, 242–253; Proc. Steklov Inst. Math., 269 (2010), 235–246
Citation in format AMSBIB
\Bibitem{SubTel10}
\by Yu.~N.~Subbotin, S.~A.~Telyakovskii
\paper Sharpening of the estimates for relative widths of classes of differentiable functions
\inbook Function theory and differential equations
\bookinfo Collected papers. Dedicated to Academician Sergei Mikhailovich Nikol'skii on the occasion of his 105th birthday
\serial Tr. Mat. Inst. Steklova
\yr 2010
\vol 269
\pages 242--253
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm2888}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2729988}
\zmath{https://zbmath.org/?q=an:1208.46035}
\elib{https://elibrary.ru/item.asp?id=15109766}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2010
\vol 269
\pages 235--246
\crossref{https://doi.org/10.1134/S0081543810020203}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000281705900020}
\elib{https://elibrary.ru/item.asp?id=15329504}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77956632965}
Linking options:
http://mi.mathnet.ru/eng/tm2888 http://mi.mathnet.ru/eng/tm/v269/p242
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
Yu. N. Subbotin, S. A. Telyakovskii, “Ob otnositelnykh poperechnikakh klassov differentsiruemykh funktsii. III”, Tr. IMM UrO RAN, 17, no. 3, 2011, 300–302
 -
Yu. N. Subbotin, S. A. Telyakovskii, “On the Norms of Favard Kernels”, Math. Notes, 97:4 (2015), 598–604
|
| Number of views: |
| This page: | 242 | | Full text: | 33 | | References: | 61 |
|
Terms of Use