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