Dini–Lipschitz criterion
id:
dini-lipschitz-criterion-318-9634451
title:
Dini–Lipschitz criterion
text:
In mathematics, the Dini–Lipschitz criterion is a sufficient condition for the Fourier series of a periodic function to converge uniformly at all real numbers. It was introduced by Ulisse Dini (1872), as a strengthening of a weaker criterion introduced by Rudolf Lipschitz (1864). The criterion states that the Fourier series of a periodic function f converges uniformly on the real line if where ω is the modulus of continuity of f with respect to δ .
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Dini%E2%80%93Lipschitz_criterion
date created:
date modified:
2021-08-29T07:50:28Z
main entity:
{"identifier":"Q5278349","url":"https://www.wikidata.org/entity/Q5278349"}
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13
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