bounded function


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bounded function

[¦bau̇n·dəd ′fəŋk·shən]
(mathematics)
A function whose image is a bounded set.
A function of a metric space to itself which moves each point no more than some constant distance.
References in periodicals archive ?
Suppose that there exists a nonnegative rd-continuous bounded function p(t) such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], for all t [member of] T and some positive number [[lambda].
R] in the approximation of a continuous, positive and bounded function f on R.
Suppose f is a bounded function in [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] Then there exist C < [infinity] and a fixed scale [a.
GAMMA]]f > 0, where [GAMMA] is a bounded function on the interval I = (a, b).
Further, we assume that p(x, y) is a strictly positive function and q(x, y) is a nonnegative smooth bounded function on [OMEGA].
G) for any bounded function [epsilon], or equivalently for any choice of signs [epsilon] (x) = [+ or -] 1.
Therefore, without loss of generality, one may assume that there exists a bounded function f(.
Consequently, M acts by multiplication with an essentially bounded function [?
m]) be as in Lemma 1 and let f be a bounded function in [Mathematical Expression Omitted].
v] (t) is a bounded function on (0,[infinity]) also shows that in the case v [greater than or equal to] -1/2, [[phi].
It is assumed that F is a function class consisting of bounded functions with the range [a, b].