Title
On the optimal stability of bases of univariate functions
Abstract
This paper is concerned with bases of finite dimensional spaces of univariate continuous functions which are optimally stable for evaluation. The only bases considered are those whose elements have no sign changes. Among these, an optimally stable basis is characterized under the assumption that the set of points where each basis function is nonzero is an interval. A uniqueness result and many examples of such optimally stable bases are also provided.
Year
DOI
Venue
2002
10.1007/s002110100327
Numerische Mathematik
Keywords
Field
DocType
Mathematics Subject Classification (1991): 65D07, 65D15, 41A10, 41A15
Uniqueness,Applied mathematics,Continuous function,Vector space,Mathematical analysis,Computational geometry,Bernstein polynomial,Basis function,Numerical approximation,Univariate,Mathematics,Calculus
Journal
Volume
Issue
ISSN
91
2
0945-3245
Citations 
PageRank 
References 
8
0.83
4
Authors
1
Name
Order
Citations
PageRank
J. M. Peña168172.88