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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 11, Pages 53–60 (Mi ivm4255)  
This article is cited in 3 scientific papers (total in 4 papers)

Form-preserving exponential approximation

Yu. N. Subbotin

Department of Functions Approximation Theory, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia
Full-text PDF (168 kB) Citations (4)
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Abstract: In this paper we continue our research in constructing linear methods for approximating functions by parabolic splines with equidistant knots, inheriting such properties of approximated functions as monotony and convexity. The obtained results are generalized to the case of non-equidistant knots and to some kinds of exponential splines of the third order.
Keywords: parabolic spline, exponential spline, equidistant knots, monotony, convexity, approximating function.
Received: 09.07.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 11, Pages 46–52
DOI: https://doi.org/10.3103/S1066369X09110061
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. N. Subbotin, “Form-preserving exponential approximation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11, 53–60; Russian Math. (Iz. VUZ), 53:11 (2009), 46–52
Citation in format AMSBIB
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\by Yu.~N.~Subbotin
\paper Form-preserving exponential approximation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 11
\pages 53--60
\mathnet{http://mi.mathnet.ru/ivm4255}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2657240}
\zmath{https://zbmath.org/?q=an:1184.65023}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 11
\pages 46--52
\crossref{https://doi.org/10.3103/S1066369X09110061}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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