equicontinuous

Adjective

Meaning

equicontinuous (not comparable)

(mathematics, of a family of functions) Such that all members are continuous, with equal variation in a given neighborhood.

Related terms

Examples

More generally, a set of functions with bounded Lipschitz constant forms an equicontinuous set. Source: Internet

Uniform convergence is also guaranteed if is a compact interval and is an equicontinuous sequence that converges pointwise. Source: Internet

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