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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2009, Issue 2, Pages 26–31 (Mi uzeru258)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Bivariate interpolation with integrals

G. A. Ktryan

Chair of Numerical Analysis and Mathematical Modeling YSU, Armenia
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Abstract: The bivariate interpolation problem, where the interpolation parameters are integrals over bounded regions, is considered in this paper. H. Hakopian posed a hypothesis for this problem in the case, when regions are obtained from intersection of lines in general position [2]. Till now the hypothesis is proved for polynomials of degree $\leq1$. In this paper we bring a new proof. Meanwhile we solve the problem in more general setting – in the case of arbitrary regions.
Keywords: correctness, bivariate, centroid, interpolation.
Received: 28.12.2008
Accepted: 25.01.2009
Document Type: Article
Language: English
Citation: G. A. Ktryan, “Bivariate interpolation with integrals”, Proceedings of the YSU, Physical and Mathematical Sciences, 2009, no. 2, 26–31
Citation in format AMSBIB
\Bibitem{Ktr09}
\by G.~A.~Ktryan
\paper Bivariate interpolation with integrals
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2009
\issue 2
\pages 26--31
\mathnet{http://mi.mathnet.ru/uzeru258}
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    • This publication is cited in the following 1 articles:
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