xbeta
Lipschitz continuity

A function $f:D\subset ℝ\to ℝ$ is said to be Lipschitz if it satisfies the Lipschitz condition, that there exists a real number $M\ge 0$ such that for all $x,y\in D$,

The smallest such $K$ is called the Lipschitz constant (Marsden and Hoffman, 1993, p. 195).

References

• Marsden, Jerrold E. and Michael J. Hoffman (1993): ”Elementary Classical Analysis”, W.H. Freeman, New York.