# Lipschitz condition

[lip-shits]

- the property of a function on a closed interval such that the absolute value of the difference in functional values at any two points in the interval is less than a constant times the absolute value of the difference of the points raised to some positive power m, called the order.

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## Origin of Lipschitz condition^{}

named after Rudolf Lipschitz (1832–1903), German mathematician

Also called Hölder condition.

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