Cauchy–Schwarz inequality

id: cauchy-schwarz-inequality-163-4082364
title: Cauchy–Schwarz inequality
text: The Cauchy–Schwarz inequality is an upper bound on the inner product between two vectors in an inner product space in terms of the product of the vector norms. It is considered one of the most important and widely used inequalities in mathematics. Inner products of vectors can describe finite sums, infinite series, and integrals. The inequality for sums was published by Augustin-Louis Cauchy (1821). The corresponding inequality for integrals was published by Viktor Bunyakovsky (1859) and Hermann
brand slug: wiki
category slug: encyclopedia
description: Mathematical inequality relating inner products and norms
original url: https://en.wikipedia.org/wiki/Cauchy%E2%80%93Schwarz_inequality
date created: 2001-08-15T09:04:58Z
date modified: 2024-08-28T18:57:17Z
main entity: {"identifier":"Q190546","url":"https://www.wikidata.org/entity/Q190546"}
image:
fields total: 13
integrity: 15

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