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Matematicheskie Zametki, 1996, Volume 59, Issue 5, Pages 737–752
DOI: https://doi.org/10.4213/mzm1768 (Mi mzm1768) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Polynomials orthogonal with sign-sensitive weight

A.-R. K. Ramazanov

Daghestan State University
Full-text PDF (182 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm1768
Abstract: We introduce the notion of inner product with sign-sensitive weight and construct systems of nonsymmetrically orthonormalized polynomials. We also study some properties of such polynomials (for example, the properties of Fourier coefficients, quadrature formulas of Gauss type, etc.).
Received: 29.12.1994
English version:
Mathematical Notes, 1996, Volume 59, Issue 5, Pages 531–542
DOI: https://doi.org/10.1007/BF02308821
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. K. Ramazanov, “Polynomials orthogonal with sign-sensitive weight”, Mat. Zametki, 59:5 (1996), 737–752; Math. Notes, 59:5 (1996), 531–542
Citation in format AMSBIB
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\by A.~K.~Ramazanov
\paper Polynomials orthogonal with sign-sensitive weight
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\issue 5
\pages 737--752
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\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 5
\pages 531--542
\crossref{https://doi.org/10.1007/BF02308821}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VM73200010}
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  • https://doi.org/10.4213/mzm1768
  • https://www.mathnet.ru/eng/mzm/v59/i5/p737
    • This publication is cited in the following 2 articles:
    1. A. I. Kozko, “Completeness of orthogonal systems in asymmetric spaces with sign-sensitive weight”, J Math Sci, 139:6 (2006), 7151  crossref
    2. A. I. Kozko, “On the order of the best approximation in spaces with asymmetric norm and sign-sensitive weight on classes of differentiable functions”, Izv. Math., 66:1 (2002), 103–131  mathnet  crossref  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Full-text PDF :116
    References:55
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