Nowhere monotone Riemann integrable derivative without local extrema
Nikolay A. Gusev, Andrey E. Komagorov
Published: 2025/5/15
Abstract
We construct a nowhere monotone Riemann integrable derivative which has no local extrema. We also construct a differentiable function $G$ such that $G'$ is Riemann integrable and has an isolated local extrema which is not an inflection point of $G$.