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

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


A counterexample to a result concerning controlled approximation

Author: Rong Qing Jia
Journal: Proc. Amer. Math. Soc. 97 (1986), 647-654
MSC: Primary 41A15; Secondary 41A45
MathSciNet review: 845982
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A result of Strang and Fix states that if the order of controlled approximation from a collection of locally supported elements is $ k$, then there is a linear combination $ \Omega $ of those elements and their translates such that any polynomial of degree less than $ k$ can be reproduced by $ \Omega $ and its translates. This paper gives a counterexample to their result.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 41A15, 41A45

Retrieve articles in all journals with MSC: 41A15, 41A45

Additional Information

PII: S 0002-9939(1986)0845982-1
Article copyright: © Copyright 1986 American Mathematical Society