Lebesgue point
id:
lebesgue-point-304-2749834
title:
Lebesgue point
text:
In mathematics, given a locally Lebesgue integrable function f on R k , a point x in the domain of f is a Lebesgue point if Here, B is a ball centered at x with radius r > 0 , and λ is its Lebesgue measure. The Lebesgue points of f are thus points where f does not oscillate too much, in an average sense. The Lebesgue differentiation theorem states that, given any f ∈ L 1 , almost every x is a Lebesgue point of f .
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Lebesgue_point
date created:
date modified:
2022-12-10T13:30:05Z
main entity:
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13
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