Conditions for convergence and subsequential convergence
Articles > Article · 2006
Authors: İbrahim ÇANAK, Mehmet Dik, Filiz DİK
APPLIED MATHEMATICS LETTERS, Journal Indexed in SCI Expanded, International, 2006, vol 19, pp 1042-1045
DOI: 10.1016/j.aml.2005.11.015
Summary
Let (u(n)) be a sequence, regularly generated by another sequence (alpha(n)) where either (alpha(n)) or (Delta alpha(n)) = (alpha(n) - alpha(n-1)) is slowly oscillating. We investigate conditions under which the sequence (u(n)) converges or converges subsequentially. (C) 2005 Elsevier Ltd. All rights reserved.