Hardy's inequality
id:
hardy-s-inequality-234-12799789
title:
Hardy's inequality
text:
Hardy's inequality is an inequality in mathematics, named after G. H. Hardy. It states that if a 1 , a 2 , a 3 , … is a sequence of non-negative real numbers, then for every real number p > 1 one has If the right-hand side is finite, equality holds if and only if a n = 0 for all n. An integral version of Hardy's inequality states the following: if f is a measurable function with non-negative values, then If the right-hand side is finite, equality holds if and only if f(x) = 0 almost everywhere.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Hardy%27s_inequality
date created:
date modified:
2023-12-14T20:49:23Z
main entity:
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fields total:
13
integrity:
13