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Mathematics of the USSR-Izvestiya, 1972, Volume 6, Issue 2, Pages 417–428
DOI: https://doi.org/10.1070/IM1972v006n02ABEH001880 (Mi im2303) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Inequalities for differentiable periodic functions and best approximation of one class of functions by another

N. P. Korneichuk
English version PDF (509 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1972v006n02ABEH001880
Abstract: New results are obtained in this paper which elucidate properties of differentiable periodic functions connected with rearrangements. These results are applied in order to obtain a sharp estimate of the best uniform approximation of functions of the class $W^rH_\omega$ by functions of the class $W^{r+1}K$.
Received: 19.08.1971
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1972, Volume 36, Issue 2, Pages 423–434
Bibliographic databases:
UDC: 517.5
MSC: 41A30, 42A04
Language: English
Original paper language: Russian
Citation: N. P. Korneichuk, “Inequalities for differentiable periodic functions and best approximation of one class of functions by another”, Izv. Akad. Nauk SSSR Ser. Mat., 36:2 (1972), 423–434; Math. USSR-Izv., 6:2 (1972), 417–428
Citation in format AMSBIB
\Bibitem{Kor72}
\by N.~P.~Korneichuk
\paper Inequalities for differentiable periodic functions and best approximation of one class of functions by another
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1972
\vol 36
\issue 2
\pages 423--434
\mathnet{http://mi.mathnet.ru/im2303}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=318738}
\zmath{https://zbmath.org/?q=an:0281.41004}
\transl
\jour Math. USSR-Izv.
\yr 1972
\vol 6
\issue 2
\pages 417--428
\crossref{https://doi.org/10.1070/IM1972v006n02ABEH001880}
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  • https://www.mathnet.ru/eng/im/v36/i2/p423
    • This publication is cited in the following 7 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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    Abstract page:295
    Russian version PDF:126
    English version PDF:7
    References:46
    First page:1
     
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