6533b7dafe1ef96bd126f467

RESEARCH PRODUCT

Applications of the Connection between Approximation Theory and Algebra

Corina SimianDana Simian

subject

AlgebraComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONTrilinear interpolationBilinear interpolationLinear interpolationBirkhoff interpolationSpline interpolationMathematicsTrigonometric interpolationPolynomial interpolationInterpolation

description

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.

yearjournalcountryeditionlanguage
2009-01-01
https://doi.org/10.1007/978-3-642-00464-3_61