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equicontinuous family of functions |
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equicontinuous family of functions [¦ē·kwē·kən′tiŋ·yə·wəs ′fam·lē əv ′fəŋk·shənz] (mathematics) A family of functions with the property that given any ε > 0 there is a δ > 0 such that whenever |x-y| < δ, |ƒ(x) - ƒ(y)| < ε for every function ƒ(x) in the family. Also known as uniformly equicontinuous family of functions. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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