Back to Search Start Over

Weighting Shepard-type operators.

Authors :
Amato, Umberto
Della Vecchia, Biancamaria
Source :
Computational & Applied Mathematics; Jun2017, Vol. 36 Issue 2, p885-902, 18p
Publication Year :
2017

Abstract

Uniform approximation error estimates for weighted Shepard-type operators more flexible than the unweighted analogues are given. Error estimates for a linear combination of their iterates faster converging than previous ones are also showed. The results are applied in CAGD to construct Shepard-type curves useful in modeling and a weighted progressive iterative approximation technique exponentially converging. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01018205
Volume :
36
Issue :
2
Database :
Complementary Index
Journal :
Computational & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
122727610
Full Text :
https://doi.org/10.1007/s40314-015-0263-y