Some conditions under which subsequential convergence follows from boundedness
Articles > Article · 2008
Authors: İbrahim ÇANAK, Mehmet Dik
APPLIED MATHEMATICS LETTERS, Journal Indexed in SCI Expanded, International, 2008, vol 21, pp 957-960
DOI: 10.1016/j.aml.2007.10.009
Summary
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.