Are constant functions Lipschitz? If they are, then how do we calculate the Lipschitz constant?
[Math] Are constant functions Lipschitz
calculuslipschitz-functions
calculuslipschitz-functions
Are constant functions Lipschitz? If they are, then how do we calculate the Lipschitz constant?
Best Answer
Yes, for, if $f$ is a constant function then every $C > 0$ is such that $|f(x) - f(y)| = 0 \leq C|x-y|$ for all suitable $x,y$.