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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 4, Pages 795–813
DOI: https://doi.org/10.1070/IM1969v003n04ABEH000801
(Mi im2183)
 

This article is cited in 2 scientific papers (total in 2 papers)

The imbedding and equality of certain classes of functions

M. K. Potapov
References:
Abstract: This paper is concerned with the interrelation of certain conditions expressed in terms of best approximations, moduli of smoothness, $k$th differences of the functions in question, or the inclusion in $L_p$ of the transformed Fourier series.
Received: 03.07.1968
Bibliographic databases:
UDC: 517.5
MSC: 41A50, 42B05, 42B10
Language: English
Original paper language: Russian
Citation: M. K. Potapov, “The imbedding and equality of certain classes of functions”, Math. USSR-Izv., 3:4 (1969), 795–813
Citation in format AMSBIB
\Bibitem{Pot69}
\by M.~K.~Potapov
\paper The imbedding and equality of certain classes of functions
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 4
\pages 795--813
\mathnet{http://mi.mathnet.ru//eng/im2183}
\crossref{https://doi.org/10.1070/IM1969v003n04ABEH000801}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=253039}
\zmath{https://zbmath.org/?q=an:0187.05701|0205.12802}
Linking options:
  • https://www.mathnet.ru/eng/im2183
  • https://doi.org/10.1070/IM1969v003n04ABEH000801
  • https://www.mathnet.ru/eng/im/v33/i4/p840
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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