DIRECTED DISTANCES WITH DERIVATIVES

Citation
E. Gonzalezvelasco et J. Grahameagle, DIRECTED DISTANCES WITH DERIVATIVES, Journal of mathematical analysis and applications, 184(2), 1994, pp. 243-255
Citations number
6
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
184
Issue
2
Year of publication
1994
Pages
243 - 255
Database
ISI
SICI code
0022-247X(1994)184:2<243:DDWD>2.0.ZU;2-L
Abstract
Minimum distance approaches for the reconstruction of real functions f rom a finite number of linear functional values are discussed. In cont rast to previous works, the distance is allowed to depend on the deriv atives of the functions in question. Conditions on such distances whic h satisfy the directed orthogonality principle are given. (C) 1994 Aca demic Press, Inc.