The Lipschitz condition of order 
at 
for a function 
defined near 0 states that constants 
and 
exist for which
 |
for all 
.
Lipschitz Condition
See also
Hillam's Theorem, Hölder Condition, Lipschitz-Free Space, Lipschitz FunctionExplore with Wolfram|Alpha
References
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.Referenced on Wolfram|Alpha
Lipschitz ConditionCite this as:
Weisstein, Eric W. "Lipschitz Condition." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LipschitzCondition.html