%0 Journal Article
%T Slowly Oscillating Continuity
%A H.  akalli
%J Abstract and Applied Analysis
%D 2008
%I Hindawi Publishing Corporation
%R 10.1155/2008/485706
%X A function  is continuous if and only if, for each point 0 in the domain, lim¡ú¡Þ()=(0), whenever lim¡ú¡Þ=0. This is equivalent to the statement that (()) is a convergent sequence whenever () is convergent. The concept of slowly oscillating continuity is defined in the sense that a function  is slowly oscillating continuous if it transforms slowly oscillating sequences to slowly oscillating sequences, that is, (()) is slowly oscillating whenever () is slowly oscillating. A sequence () of points in  is slowly oscillating if lim¡ú1
%U http://www.hindawi.com/journals/aaa/2008/485706/