Some conditions under which subsequential convergence follows from boundedness
Makaleler > Tam Makale · 2008
Yazarlar: İbrahim ÇANAK, Mehmet Dik
APPLIED MATHEMATICS LETTERS, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2008, cilt 21, ss 957-960
DOI: 10.1016/j.aml.2007.10.009
Özet
Let (u(n)) be a sequence of real numbers. We obtain sonic Tauberian-like conditions in terms of the general control modulo of integer order to retrieve subsequential convergence of (u(n)) from the boundedness of (u(n)). (c) 2007 Elsevier Ltd. All rights reserved.