APPROXIMATION BY THE SOLUTIONS OF THE HEAT-EQUATION

Authors
BYUN DW SAITOH S
Citation
Dw. Byun et S. Saitoh, APPROXIMATION BY THE SOLUTIONS OF THE HEAT-EQUATION, Journal of approximation theory, 78(2), 1994, pp. 226-238
Citations number
7
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Journal of approximation theory → ACNP
ISSN journal
00219045
Volume
78
Issue
2
Year of publication
1994
Pages
226 - 238
Database
ISI
SICI code
0021-9045(1994)78:2<226:ABTSOT>2.0.ZU;2-P
Abstract
Solutions of the heat equations {u(xx)(x, t) = u(t)(x, t) on (- infini ty, infinity) x {t > 0} {u(x, 0) = F(x) on (- infinity, infinity), whe re F belongs to the weighted L2[R, exp(- ax2) dx] space, are used in o rder to study best approximation problems. (C) 1994 Academic Press, In c.