Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A natural formulation of quasi-interpolation by multivariate splines

Authors: Charles K. Chui and Harvey Diamond
Journal: Proc. Amer. Math. Soc. 99 (1987), 643-646
MSC: Primary 41A15; Secondary 41A65
MathSciNet review: 877032
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A quasi-interpolation formula based on discrete function values is given in the form of a multivariate spline series that yields the local approximation order characterized by the Fix-Strang conditions. This formula can be considered as a partial sum of the formal Neumann series expansion of the formal interpolation operator, and hence, justifies that "quasi-interpolation" is indeed an appropriate terminology for such an approximation formula.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 41A15, 41A65

Retrieve articles in all journals with MSC: 41A15, 41A65

Additional Information

PII: S 0002-9939(1987)0877032-6
Keywords: Multivariate splines, local approximation order, quasi-interpolation, Neumann series
Article copyright: © Copyright 1987 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia