Bramble–Hilbert lemma

id: bramble-hilbert-lemma-257-5169865
title: Bramble–Hilbert lemma
text: In mathematics, particularly numerical analysis, the Bramble–Hilbert lemma, named after James H. Bramble and Stephen Hilbert, bounds the error of an approximation of a function u by a polynomial of order at most m − 1 in terms of derivatives of u of order m . Both the error of the approximation and the derivatives of u are measured by L p norms on a bounded domain in R n . This is similar to classical numerical analysis, where, for example, the error of linear interpolation u can be bounded usin
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original url: https://en.wikipedia.org/wiki/Bramble%E2%80%93Hilbert_lemma
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date modified: 2021-11-02T15:17:17Z
main entity: {"identifier":"Q1816909","url":"https://www.wikidata.org/entity/Q1816909"}
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