2009; Physical and Mathematical Sciences, 43(2 (219): 26–31
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BIVARIATE INTERPOLATION WITH INTEGRALS

G. A. Kiryan*

Received: 2025-02-27 · Published: 2009-06-26

© 2009 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
BIVARIATE INTERPOLATION WITH INTEGRALS
Author
G. A. Kiryan
Published
2009-06-26
Licence
Creative Commons Attribution 4.0 International

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.
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