Authors
Citation
Da. Legg et Dw. Townsend, BEST MONOTONE-APPROXIMATION USING A PEAK NORM, Journal of mathematical analysis and applications, 205(1), 1997, pp. 197-206
Citations number
3
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
0022247X
Volume
205
Issue
1
Year of publication
1997
Pages
197 - 206
Database
ISI
SICI code
0022-247X(1997)205:1<197:BMUAPN>2.0.ZU;2-Q
Abstract
Monotone approximation relative to peak norms is studied both on an in
terval and in the discrete case. Existence and some structure results
are obtained which demonstrate that peak norm approximation has simila
r properties to L(1) approximation. In particular, sup's and inf's of
best approximants are best approximants (in the discrete case) and a h
alf-above, half-below property is demonstrated. (C) 1997 Academic Pres
s