monotone nonincreasing sequence

monotone nonincreasing sequence

(mathematics)
A sequence, {Sn }, of real numbers that never increases; that is, Sn +1Sn for all n.
A sequence of real-valued functions, {ƒn }, defined on the same domain, D, that never increases; that is, ƒn +1(x) ≤ ƒn (x) for all n and for all x in D.
References in periodicals archive ?
Similarly, we can verify that the limit v(x) of monotone nonincreasing sequence {[v.sub.n]} in X is a lower bound for all the elements in the sequence.