from Encyclopedia of Mathematics
Let a function f:[a,b]→R be such that for some constant M and for all x,y∈[a,b]
|f(x)−f(y)|≤M|x−y|.
Then the function f is called Lipschitz on [a,b] , and one writes f∈LipM[a,b].
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|f(x)−f(y)|≤M|x−y|.
Then the function f is called Lipschitz on [a,b] , and one writes f∈LipM[a,b].
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