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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 439, Pages 74–92 (Mi znsl6201)  
This article is cited in 2 scientific papers (total in 2 papers)

Two-sided estimates of some coordinate splines

Yu. K. Dem'yanovich, D. M. Lebedinskii, N. A. Lebedinskaya

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (215 kB) Citations (2)
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Abstract: Two-sided estimates of continuously differentiable coordinate splines of the second order are established, and sufficient conditions of their nonnegativeness are provided. The results obtained are applied to trigonometric splines.
Key words and phrases: coordinate splines, two-sided estimates, generating vector function, components of a representation, local quasi-equidistant grid.
Funding agency Grant number
Russian Foundation for Basic Research 14-1-00069
15-01-08847
Received: 23.11.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 216, Issue 6, Pages 770–782
DOI: https://doi.org/10.1007/s10958-016-2941-8
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: Yu. K. Dem'yanovich, D. M. Lebedinskii, N. A. Lebedinskaya, “Two-sided estimates of some coordinate splines”, Computational methods and algorithms. Part XXVIII, Zap. Nauchn. Sem. POMI, 439, POMI, St. Petersburg, 2015, 74–92; J. Math. Sci. (N. Y.), 216:6 (2016), 770–782
Citation in format AMSBIB
\Bibitem{DemLebLeb15}
\by Yu.~K.~Dem'yanovich, D.~M.~Lebedinskii, N.~A.~Lebedinskaya
\paper Two-sided estimates of some coordinate splines
\inbook Computational methods and algorithms. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 439
\pages 74--92
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6201}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3502383}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 216
\issue 6
\pages 770--782
\crossref{https://doi.org/10.1007/s10958-016-2941-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84976315470}
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  • https://www.mathnet.ru/eng/znsl/v439/p74
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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