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Mathematics of the USSR-Izvestiya, 1981, Volume 16, Issue 1, Pages 83–101
DOI: https://doi.org/10.1070/IM1981v016n01ABEH001297 (Mi im1633) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On the approximation of $x^\alpha$ by rational functions

N. S. Vyacheslavov
English version PDF (641 kB) Citations (13)
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DOI: https://doi.org/10.1070/IM1981v016n01ABEH001297
Abstract: Weak equivalence type estimates are obtained for the smallest deviation of $x^\alpha$ ($\alpha$ a proper fraction) from the rational functions of degree not greater than $n=1,2,\dots$ in the metrics of $L_p[0,1]$ ($1\leqslant p\leqslant\infty$).
Bibliography: 15 titles.
Received: 18.12.1978
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1980, Volume 44, Issue 1, Pages 92–109
Bibliographic databases:
UDC: 517.5
MSC: 41A20
Language: English
Original paper language: Russian
Citation: N. S. Vyacheslavov, “On the approximation of $x^\alpha$ by rational functions”, Izv. Akad. Nauk SSSR Ser. Mat., 44:1 (1980), 92–109; Math. USSR-Izv., 16:1 (1981), 83–101
Citation in format AMSBIB
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\paper On the approximation of $x^\alpha$ by rational functions
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\yr 1980
\vol 44
\issue 1
\pages 92--109
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\zmath{https://zbmath.org/?q=an:0465.41001|0426.41010}
\transl
\jour Math. USSR-Izv.
\yr 1981
\vol 16
\issue 1
\pages 83--101
\crossref{https://doi.org/10.1070/IM1981v016n01ABEH001297}
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  • https://doi.org/10.1070/IM1981v016n01ABEH001297
  • https://www.mathnet.ru/eng/im/v44/i1/p92
    • This publication is cited in the following 13 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:453
    Russian version PDF:138
    English version PDF:32
    References:96
    First page:1
     
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