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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 3, Pages 112–126 (Mi timm45)  
This article is cited in 3 scientific papers (total in 3 papers)

The sharp Jackson inequality in the space L2 on the segment [−1,1] with the power weight

V. I. Ivanova, D. V. Chertovaa, Liu Yongpingb

a Tula State University
b Beijing Normal University (BNU) School of Mathematical Sciences
Full-text PDF (312 kB) Citations (3)
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Abstract: In the space L2 on the segment [−1,1] with the power weight |x|2λ+1, λ⩾−1/2 , we define a complete orthogonal system, the value of the best approximation with respect to this system, the operator of generalized shift, and the modulus of continuity and prove the sharp Jackson inequality.
Received: 17.03.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 264, Issue 1, Pages S133–S149
DOI: https://doi.org/10.1134/S0081543809050113
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. I. Ivanov, D. V. Chertova, Liu Yongping, “The sharp Jackson inequality in the space L2 on the segment [−1,1] with the power weight”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 3, 2008, 112–126; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S133–S149
Citation in format AMSBIB
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\by V.~I.~Ivanov, D.~V.~Chertova, Liu Yongping
\paper The sharp Jackson inequality in the space $L_2$ on the segment $[-1,1]$ with the power weight
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2008
\vol 14
\issue 3
\pages 112--126
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 264
\issue , suppl. 1
\pages S133--S149
\crossref{https://doi.org/10.1134/S0081543809050113}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000265511100011}
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  • https://www.mathnet.ru/eng/timm45
  • https://www.mathnet.ru/eng/timm/v14/i3/p112
    • This publication is cited in the following 3 articles:
    1. O. A. Dzhurakhonov, “Priblizhenie funktsii dvukh peremennykh «krugovymi» summami Fure — Chebysheva v $L_{2,\rho}$”, Vladikavk. matem. zhurn., 22:2 (2020), 5–17  mathnet  crossref
    2. K. Tukhliev, “Srednekvadraticheskoe priblizhenie funktsii ryadami Fure–Besselya i znacheniya poperechnikov nekotorykh funktsionalnykh klassov”, Chebyshevskii sb., 17:4 (2016), 141–156  mathnet  crossref  elib
    3. Liu Y.P. Song Ch.Yu., “Dunkl'S Theory and Best Approximation By Entire Functions of Exponential Type in l-2-Metric With Power Weight”, Acta. Math. Sin.-English Ser., 30:10 (2014), 1748–1762  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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