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.
References in periodicals archive ?
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.
Yamauchi, Life span of solutions for a semi-linear heat equation with initial data having positive limit inferior at infinity, Nonlinear Anal.