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.