6533b858fe1ef96bd12b6141

RESEARCH PRODUCT

The λ-Error Order in Multivariate Interpolation

Dana Simian

subject

Discrete mathematicsNearest-neighbor interpolationMathematicsofComputing_NUMERICALANALYSISTrilinear interpolationApplied mathematicsBilinear interpolationStairstep interpolationLinear interpolationSpline interpolationComputingMethodologies_COMPUTERGRAPHICSMultivariate interpolationInterpolationMathematics

description

The aim of this article is to introduce and to study a generalization of the error order of interpolation, named λ – error order of interpolation. This generalization makes possible a deeper analysis of the error in the interpolation process. We derived the general form of the λ – error order of interpolation and then we applied it for many choices of the functional λ.

https://doi.org/10.1007/978-3-540-31852-1_58