A function 
such that
 |
for all 
and 
,
where 
is a constant independent of 
and 
, is called a Lipschitz function. For example, any function
with a bounded first derivative must be Lipschitz.
Lipschitz Function
See also
Lipschitz ConditionPortions of this entry contributed by Todd Rowland
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Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Lipschitz Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LipschitzFunction.html