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>