Equibounded

Quick meaning: Equibounded is an adjective meaning (mathematics, of a family of functions) Having the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X.

Meaning

(mathematics, of a family of functions) Having the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X.

Example Sentences

The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.

An important example of such a semigroup in infinite dimensional Hilbert space is the weak operator closed monothetic semigroup generated by a linear operator with equibounded iterates.

Related Words

Related dictionary entries include equicontinuous, equinumerous, subhomogeneous, semibounded, cofinite, continuous.

Related Dictionary Tools