Author： Allasia Giampietro Bracco Cesare
Publisher： Taylor & Francis Ltd
ISSN： 0163-0563
Source： Numerical Functional Analysis and Optimization, Vol.32, Iss.2, 2011-02, pp. : 111-125
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
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.
Related content
Access to resources
Recommend
On summability of weighted Lagrange interpolation. II
Acta Mathematica Hungarica, Vol. 103, Iss. 1-2, 2004-01 ,pp. :
A Symmetric Generalization of the Lagrange Interpolation Formula
STUDIES IN APPLIED MATHEMATICS, Vol. 34, Iss. 1, 1955-04 ,pp. :
On summability of weighted Lagrange interpolation. III
Acta Mathematica Hungarica, Vol. 104, Iss. 1-2, 2004-01 ,pp. :
Approximation Constants in Equidistant Lagrange Interpolation
By Revers M.
Periodica Mathematica Hungarica, Vol. 40, Iss. 2, 2000-06 ,pp. :