On some bivariate Hermite type interpolation and numerical integration formulae


Ioana Tașcu


Abstract

carpathian_2003_19_073_080_abstract

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carpathian_2003_19_073_080

In this paper we present a bivariate interpolation formula using four multi- ple nodes and then the corresponding numerical integration formula for a double integral extended over a rectangular domain. The cubature formula (3.1) represents an extension to two variables of the Hermite quadrature formula (1.1). At (4.1) we give an integral representation for the remainder of this cubature formula.

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Author(s)

Tașcu, Ioana