limit inferior

limit inferior

[′lim·ət in¦fir·ē·ər]
(mathematics)
Also known as lower limit.
The limit inferior of a sequence whose n th term is an is the limit as N approaches infinity of the greatest lower bound of the terms an for which n is greater than N ; denoted by
The limit inferior of a function ƒ at a point c is the limit as ε approaches zero of the greatest lower bound of ƒ(x) for | x-c | < ε="" and="">xc ;denoted by
For a sequence of sets, the set consisting of all elements that belong to all but a finite number of the sets in the sequence. Also known as restricted limit.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
In Theorem 1 if we take the condition 0 < [[rho].sub.h](f) < rn instead of 0 < [[lambda].sub.h] (f) [less than or equal to] [[rho].sub.h] (f) < [infinity], the theorem remains true with "limit inferior" in place of "limit"
In Theorem 3 if we take the condition [[rho].sub.h](g) > 0 instead of [[lambda].sub.h](g) > 0, the theorem remains true with "limit" replaced by "limit inferior".
The purpose of this paper is to give a sharp upper of the life span of solution for (1) with the initial data having positive limit inferior at space infinity.