THE COMPLETENESS AND OTHER PROPERTIES OF SOME FUNCTION SYSTEMS IN L-P, 0-LESS-THAN-P-LESS-THAN-INFINITY

Authors
FILIPPOV VI
Citation
Vi. Filippov, THE COMPLETENESS AND OTHER PROPERTIES OF SOME FUNCTION SYSTEMS IN L-P, 0-LESS-THAN-P-LESS-THAN-INFINITY, Journal of approximation theory (Print), 94(1), 1998, pp. 42-53
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of approximation theory (Print) → ACNP
ISSN journal
00219045
Volume
94
Issue
1
Year of publication
1998
Pages
42 - 53
Database
ISI
SICI code
0021-9045(1998)94:1<42:TCAOPO>2.0.ZU;2-W
Abstract
We study minimal conditions under which a function system is a represe ntation system in L-p(a, b), - infinity less than or equal to a < b le ss than or equal to + infinity, 0 < p < infinity, i.e., any function f is an element of L-p(a, b) can be represented by at least one L-p-con vergent series relative to this system. (C) 1998 Academic Press.