Equicontinuity
In mathematical analysis, a family of functions is equicontinuous if all the functions are continuous and they have equal variation over a given neighbourhood, in a precise sense described herein.
Equicontinuity - Wikipedia Jump to content From Wikipedia, the free encyclopedia Relation among continuous functions In mathematical analysis , a family of functions is equicontinuous if all the functions are continuous and they have equal variation over a given neighbourhood , in a precise sense described herein. In particular, the concept applies to countable families, and thus sequences of functions. Equicontinuity appears in the formulation of Ascoli's theorem , which states that a subset of C ( X ), the space of continuous functions on a compact Hausdorff space X , is compact if and only
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