WEIGHTED MEANS AND SUMMABILITY BY GENERALIZED NORLUND AND OTHER METHODS

Authors
BORWEIN D KIESEL R
Citation
D. Borwein et R. Kiesel, WEIGHTED MEANS AND SUMMABILITY BY GENERALIZED NORLUND AND OTHER METHODS, Journal of mathematical analysis and applications, 184(3), 1994, pp. 607-619
Citations number
11
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
184
Issue
3
Year of publication
1994
Pages
607 - 619
Database
ISI
SICI code
0022-247X(1994)184:3<607:WMASBG>2.0.ZU;2-7
Abstract
It is proved that if the weighted means of a sequence satisfy certain order conditions, then the sequence is summable by every method of a f amily of methods GAMMA(p) based on a given sequence (p(n)). The family GAMMA(p) includes the power series method J(p) and the generalized No rlund method (N, p, p). (C) 1994 Academic Press, Inc.