## Giampietro Allasia e Cesare Bracco## HERMITE AND BIRKHOFF INTERPOLATION ON MULTIVARIATE SCATTERED DATAA class of operators for nonpolynomial Hermite interpolation and Birkhoff interpolation to a multivariate real function on scattered data is discussed. The argument is developed considering a suitable space of functions and a related system of independent functionals, which enjoy biorthonormal property. The functionals give the derivatives at the data sites of some cardinal radial basis functions which depend on the data distribution. The data values are represented by truncated Taylor expansions of the interpolated function at the data sites. A noteworthy special case is widely discussed. |

Elenco 2008 |

Università di Torino - Dipartimento di Matematica

Pagine realizzate dal Centro di Calcolo - R.I.R. Tiziana Armano

Ultima modifica: 08 Febbraio 2008