# Schwarz inequality

- Also called Cauchy's inequality. the theorem that the inner product of two vectors is less than or equal to the product of the magnitudes of the vectors.
- Also called Cauchy-Schwarz inequality. the theorem that the square of the integral of the product of two functions is less than or equal to the product of the integrals of the square of each function.

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## Origin of Schwarz inequality^{}

First recorded in 1950–55; named after H. A. Schwarz

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018