# Cauchy's Inequality

The following article is from

*The Great Soviet Encyclopedia*(1979). It might be outdated or ideologically biased.## Cauchy’s Inequality

an inequality for finite sums having the form

It is one of the most important and commonly used inequalities and was proved by A. Cauchy (1821). The integral analog of Cauchy's inequality was established by the Russian mathematician V. la. Buniakovskii, while an important generalization of Cauchy's inequality was made by the German mathematician L. O. Hölder.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.