pointwise equicontinuous family of functions

pointwise equicontinuous family of functions

[¦pöint‚wīz ‚ek·wi·kən¦tin·yə·wəs ¦fam·le əv ′fəŋk·shənz]
(mathematics)
A family of functions defined on a common domain D with the property that for any point x in D and for any ε>0 there is a δ>0 such that, whenever y is in D and | x-y |<δ,>x)-ƒ(y)|<ε for="" every="" function="" ƒ="" in="" the="">