convergence in measure


convergence in measure

[kən′vər·jəns in ′mezh·ər] (mathematics) A sequence of functions ƒn (x) converges in measure to ƒ(x) if given any ε > 0, the measure of the set of points at which |ƒn (x) - ƒ(x) | > ε is less than ε, provided n is sufficiently large.