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Continuity
 

Information About

Lipschitz Continuity




f


defined on an Interval of Real Number s with real values is called Lipschitz continuous (or is said to satisfy a '''Lipschitz condition''') if there exists a constant

K


such that

  The Function <math>f(x) 2x-3</math> defined on <math> 10 </math> is Lipschitz continuous with the Lipschitz constant equal to 2 This is an example of a Lipschitz continuous function that is not differentiable