BIVARIATE INTERPOLATION WITH INTEGRALS
DOI:
https://doi.org/10.46991/PYSU:A/2009.43.2.026Keywords:
correctness, bivariate, centroid, interpolationAbstract
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 ≤1 . In this paper we bring a new proof. Meanwhile we solve the problem in more general setting – in the case of arbitrary regions.
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Published
2009-06-26
How to Cite
Kiryan, G. A. (2009). BIVARIATE INTERPOLATION WITH INTEGRALS. Proceedings of the YSU A: Physical and Mathematical Sciences, 43(2 (219), 26–31. https://doi.org/10.46991/PYSU:A/2009.43.2.026
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Mathematics
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Copyright (c) 2009 Proceedings of the YSU
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