Search results for "Trigonometric interpolation"

showing 2 items of 2 documents

Applications of the Connection between Approximation Theory and Algebra

2009

The aim of this paper is to illustrate a possibility of obtaining various theoretical results using the connection between multivariate interpolation and reduction process with respect to a H-basis of an ideal. Using this connection we can switch between interpolation theory and the theory of ideals. As a application of this connection, we found and proved an interesting identity, which is satisfied for all polynomials in d variables from an interpolation polynomial subspace.

AlgebraComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONTrilinear interpolationBilinear interpolationLinear interpolationBirkhoff interpolationSpline interpolationMathematicsTrigonometric interpolationPolynomial interpolationInterpolation
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Properties of Generalized Polynomial Spaces in Three Variables

2009

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.

AlgebraNearest-neighbor interpolationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONInterpolation spaceLinear interpolationBirkhoff interpolationSpline interpolationMathematicsTrigonometric interpolationInterpolationPolynomial interpolation
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