A function satisfies the Lipschitz condition of order at if

for all , where and are independent of , , and is an upper bound for all for which a finite exists.

Jeffreys, H. and Jeffreys, B. S. "The Lipschitz Condition." §1.15 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, p. 53, 1988.

CITE THIS AS:

Weisstein, Eric W. "Lipschitz Condition." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/LipschitzCondition.html