equicontinuous at a point

equicontinuous at a point

[¦ē·kwē·kən′tiŋ·yə·wəs at ə ′pöint]
(mathematics)
A family of functions is equicontinuous at a point x if for any ε > 0 there is a δ > 0 such that, whenever | x-y | < δ,="">x)-ƒ(y)|<ε for="" every="" function="">x) in the family.