Some Hermite bivariate interpolation procedures


Dan Bărbosu


Abstract

carpathian_1998_14_005_014_abstract

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carpathian_1998_14_005_014

A belnding operator of Hermite type is constructed by using the parametric extensions of the univariate Hermite projectors. These extensions are presented in the first section.
In the new section the product of these extensions is considered It is proved that this product is an interpolation proiector and its precision set is determinated. The main results of the paper are contained in the last section, where is proved that the boolean sum operator of Hermite parametric extensions is an interpolation projector, is determined the precision set of this projector and are deduced the expressions of the corresponding remainder operator.

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Author(s)

Bărbosu, Dan