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Lipschitz Function


A function f such that

 |f(x)-f(y)|<=C|x-y|

for all x and y, where C is a constant independent of x and y, is called a Lipschitz function. For example, any function with a bounded first derivative must be Lipschitz.


See also

Lipschitz Condition

Portions of this entry contributed by Todd Rowland

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Cite this as:

Rowland, Todd and Weisstein, Eric W. "Lipschitz Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LipschitzFunction.html

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