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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 2, Pages 317–333
DOI: https://doi.org/10.1070/IM1977v011n02ABEH001719 (Mi im1805) 		 
This article is cited in 380 scientific papers (total in 381 papers)

Diameters of some finite-dimensional sets and classes of smooth functions

B. S. Kashin
English version PDF (563 kB) Citations (381)
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DOI: https://doi.org/10.1070/IM1977v011n02ABEH001719
Abstract: Estimates of the diameters of certain sets in the Banach spaces $L^q(0,1)$ and $l_q^n$ are given; in particular, the orders of the diameters $d_n(W_p^r,L^q)$, $p<q$, $r>1$, are completely determined.
Bibliography: 18 titles.
Received: 27.02.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 2, Pages 334–351
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: Primary 52A05, 46E30; Secondary 46E15, 52A45, 52A40
Language: English
Original paper language: Russian
Citation: B. S. Kashin, “Diameters of some finite-dimensional sets and classes of smooth functions”, Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977), 334–351; Math. USSR-Izv., 11:2 (1977), 317–333
Citation in format AMSBIB
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\paper Diameters of some finite-dimensional sets and classes of smooth functions
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 2
\pages 334--351
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\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 2
\pages 317--333
\crossref{https://doi.org/10.1070/IM1977v011n02ABEH001719}
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  • https://doi.org/10.1070/IM1977v011n02ABEH001719
  • https://www.mathnet.ru/eng/im/v41/i2/p334
    • This publication is cited in the following 381 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:2424
    Russian version PDF:747
    English version PDF:84
    References:151
    First page:6
     
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