EDB — 167

Exercises

1. [167]Let \(f : [a, b] →ℝ\) Hölder with exponent \(𝛼 ≤ 1\). Show that f is Hölderian with exponent \(𝛽\) for every \(𝛽 {\lt} 𝛼\).

   Note that this is not technically true for \(f:ℝ→ℝ\).