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.
Lipschitz Condition
See also
Hillam's Theorem, Hölder Condition, 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 Web Resource. https://mathworld.wolfram.com/LipschitzCondition.html