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On the Regularity of Multivariate Hermite Interpolation

✍ Scribed by Hakop A. Hakopian

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
148 KB
Volume
105
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this paper a result due to Gevorgian, Sahakian, and the author concerning the regularity of bivariate Hermite interpolation is generalized in two directions: in the bivariate case and for arbitrary dimensions. Also a notion of independence (preregularity) of interpolation conditions is discussed and a relation on the independence on different dimensions is indicated. As corollaries combinatorial inequalities are obtained. At the end a pair of related number inequalities is presented.

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