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Daghestan Electronic Mathematical Reports, 2018, Issue 9, Pages 7–14
DOI: https://doi.org/10.31029/demr.9.2 (Mi demr52) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Fast computation of linear combinations of Sobolev functions generated by the Haar functions

M. G. Magomed-Kasumovab, S. R. Magomedova

a Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
b Vladikavkaz Scientific Centre of the Russian Academy of Sciences
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DOI: https://doi.org/10.31029/demr.9.2
Abstract: Some properties of orthogonal with respect to Sobolev inner product functions $\chi_{1,n}(x)$, generated by Haar functions, are considered. In particular, recurrent formulas for $\chi_{1,n}(x)$ are obtained. It is developed an algorithm for calculation of the linear combinations of $N$ functions $\chi_{1,n}(x)$ using $O(\log N)$ operations.
Keywords: Haar system, numerical method, Sobolev type inner product, fast algorithm.
Received: 19.04.2018
Revised: 04.06.2018
Accepted: 05.06.2018
Document Type: Article
UDC: 519.622
Language: Russian
Citation: M. G. Magomed-Kasumov, S. R. Magomedov, “Fast computation of linear combinations of Sobolev functions generated by the Haar functions”, Daghestan Electronic Mathematical Reports, 2018, no. 9, 7–14
Citation in format AMSBIB
\Bibitem{MagMag18}
\by M.~G.~Magomed-Kasumov, S.~R.~Magomedov
\paper Fast computation of linear combinations of Sobolev functions generated by the Haar functions
\jour Daghestan Electronic Mathematical Reports
\yr 2018
\issue 9
\pages 7--14
\mathnet{http://mi.mathnet.ru/demr52}
\crossref{https://doi.org/10.31029/demr.9.2}
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