Affordable Access

Publisher Website

On the approximation power of bivariate quadraticC1splines

Authors
Journal
Journal of Computational and Applied Mathematics
0377-0427
Publisher
Elsevier
Publication Date
Volume
131
Identifiers
DOI: 10.1016/s0377-0427(00)00265-x
Keywords
  • Bivariate Splines
  • Approximation Order By Splines

Abstract

Abstract In this paper we investigate the approximation power of local bivariate quadratic C 1 quasi-interpolating (q-i) spline operators with a four-directional mesh. In particular, we show that they can approximate a real function and its partial derivatives up to an optimal order and we derive local and global upper bounds both for the errors and for the spline partial derivatives, in the case the spline is more differentiable than the function. Then such general results are applied to prove new properties of two interesting q-i spline operators, proposed and partially studied in Chui and Wang (Sci. Sinica XXVII (1984) 1129–1142).

There are no comments yet on this publication. Be the first to share your thoughts.