Alexandrov theorem
id:
alexandrov-theorem-256-3950933
title:
Alexandrov theorem
text:
In mathematical analysis, the Alexandrov theorem, named after Aleksandr Danilovich Aleksandrov, states that if U is an open subset of R n and f : U → R m is a convex function, then f has a second derivative almost everywhere. In this context, having a second derivative at a point means having a second-order Taylor expansion at that point with a local error smaller than any quadratic. The result is closely related to Rademacher's theorem.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Alexandrov_theorem
date created:
date modified:
2023-06-21T16:01:03Z
main entity:
{"identifier":"Q4454912","url":"https://www.wikidata.org/entity/Q4454912"}
image:
fields total:
13
integrity:
13