BIVARIATE INTERPOLATION WITH INTEGRALS

G. A. Kiryan

doi:10.46991/PYSU:A/2009.43.2.026

BIVARIATE INTERPOLATION WITH INTEGRALS

Authors

G. A. Kiryan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2009.43.2.026

Keywords:

correctness, bivariate, centroid, interpolation

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 ≤1 . In this paper we bring a new proof. Meanwhile we solve the problem in more general setting – in the case of arbitrary regions.

Downloads

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