6533b82efe1ef96bd1294552

RESEARCH PRODUCT

Properties of Generalized Polynomial Spaces in Three Variables

Dana Simian

subject

AlgebraNearest-neighbor interpolationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONInterpolation spaceLinear interpolationBirkhoff interpolationSpline interpolationMathematicsTrigonometric interpolationInterpolationPolynomial interpolation

description

Multivariate interpolation is a topic which often appears in practical modeling problems. Different type of spaces of functions are used for solving interpolation problems. When the interpolation conditions are of different kind, by example, spacial and temporal, one possibility for modeling the problem is to use a generalize degree, in which the monomials exponents are weighted with a weight vector with integer components. In order to use such a generalize polynomial space as interpolation space, it is necessary to know the dimension and a basis of it. The aim of this article is to study and prove many properties of the generalize polynomial spaces in three variables.

yearjournalcountryeditionlanguage
2009-01-01
https://doi.org/10.1007/978-3-642-00464-3_59