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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 2, Pages 245–254
DOI: https://doi.org/10.21538/0134-4889-2016-22-2-245-254 (Mi timm1310) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On uniform Lebesgue constants of third-order local trigonometric splines

E. V. Strelkova, V. T. Shevaldin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (177 kB) Citations (1)
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DOI: https://doi.org/10.21538/0134-4889-2016-22-2-245-254
Abstract: For the linear differential third-order operator $\mathcal {L}_3(D)=D(D^2+\alpha^2)$ ($\alpha>0$), Lebesgue constants (the norms of linear operators from $C$ to $C$) are calculated exactly for two types of local (noninterpolational) trigonometric splines with uniform knots.
Keywords: Lebesgue constants, trigonometric splines, differential operators of the third order.
Funding agency Grant number
Russian Science Foundation 14-11-00702
Received: 10.02.2016
Bibliographic databases:
Document Type: Article
UDC: 519.65
MSC: 41А15
Language: Russian
Citation: E. V. Strelkova, V. T. Shevaldin, “On uniform Lebesgue constants of third-order local trigonometric splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 245–254
Citation in format AMSBIB
\Bibitem{StrShe16}
\by E.~V.~Strelkova, V.~T.~Shevaldin
\paper On uniform Lebesgue constants of third-order local trigonometric splines
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 2
\pages 245--254
\mathnet{http://mi.mathnet.ru/timm1310}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-2-245-254}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3559181}
\elib{https://elibrary.ru/item.asp?id=26040841}
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  • https://www.mathnet.ru/eng/timm1310
  • https://www.mathnet.ru/eng/timm/v22/i2/p245
    • This publication is cited in the following 1 articles:
    1. V. T. Shevaldin, O. Ya. Shevaldina, “The Lebesgue constant of local cubic splines with equally-spaced knots”, Num. Anal. Appl., 10:4 (2017), 362–367  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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