The Lagrange interpolation problem in Banach spaces is approached by cardinal basis interpolation. Some error estimates are given and the results of several numerical tests are reported in order to show the approximation performances of the proposed interpolants. A comparison between some examples of interpolants is presented in the noteworthy case of Hilbert spaces, with some considerations about the possible localization of the formulas. Finally, some remarks about the cardinal basis interpolation framework are made from the application point of view.
Lagrange interpolation on arbitrarily distributed data in banach spaces / Allasia, Giampietro; Bracco, Cesare. - In: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION. - ISSN 0163-0563. - STAMPA. - 32:(2011), pp. 111-125. [10.1080/01630563.2010.538482]
Lagrange interpolation on arbitrarily distributed data in banach spaces
Bracco, Cesare
2011
Abstract
The Lagrange interpolation problem in Banach spaces is approached by cardinal basis interpolation. Some error estimates are given and the results of several numerical tests are reported in order to show the approximation performances of the proposed interpolants. A comparison between some examples of interpolants is presented in the noteworthy case of Hilbert spaces, with some considerations about the possible localization of the formulas. Finally, some remarks about the cardinal basis interpolation framework are made from the application point of view.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.