Hyperinterpolation on the sphere at the minimal projection order

Authors
Reimer, M
Citation
M. Reimer, Hyperinterpolation on the sphere at the minimal projection order, J APPROX TH, 104(2), 2000, pp. 272-286
Citations number
15
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
104
Issue
2
Year of publication
2000
Pages
272 - 286
Database
ISI
SICI code
0021-9045(200006)104:2<272:HOTSAT>2.0.ZU;2-M
Abstract
We investigate hyperinterpolation operators based on positive weighted quad rature rules, as introduced by Ian H. Sloan. If the rules are exact of doub le degree then, independently of the number of their nodes, the operator no rms increase; at the order of the minimal projections. (C) 2000 Academic Pr ess.