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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 4, Pages 889–914
DOI: https://doi.org/10.1070/IM1971v005n04ABEH001122 (Mi im2062) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Approximation of functions by algebraic polynomials in the $L_p$ metric

V. P. Motornyi
English version PDF (857 kB) Citations (8) Russian version article
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DOI: https://doi.org/10.1070/IM1971v005n04ABEH001122
Abstract: We introduce a new method of approximation of nonperiodic functions by algebraic polynomials. In particular, by this method we establish necessary and sufficient conditions for a function on the interval $[-1,1]$ to satisfy Hölder's condition in the $L_p$ metric.
Received: 30.07.1970
Bibliographic databases:
UDC: 517.51
MSC: Primary 41A10; Secondary 41A25
Language: English
Original paper language: Russian
Citation: V. P. Motornyi, “Approximation of functions by algebraic polynomials in the $L_p$ metric”, Math. USSR-Izv., 5:4 (1971), 889–914
Citation in format AMSBIB
\Bibitem{Mot71}
\by V.~P.~Motornyi
\paper Approximation of functions by algebraic polynomials in the $L_p$ metric
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 4
\pages 889--914
\mathnet{http://mi.mathnet.ru//eng/im2062}
\crossref{https://doi.org/10.1070/IM1971v005n04ABEH001122}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=288467}
\zmath{https://zbmath.org/?q=an:0224.41002}
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  • https://www.mathnet.ru/eng/im/v35/i4/p874
    • This publication is cited in the following 8 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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