Nowhere monotone Riemann integrable derivative without local extrema
Classical Analysis and ODEs
2025-09-16 v2 Functional Analysis
Abstract
We construct a nowhere monotone Riemann integrable derivative which has no local extrema. We also construct a differentiable function such that is Riemann integrable and has an isolated local extrema which is not an inflection point of .
Cite
@article{arxiv.2505.10659,
title = {Nowhere monotone Riemann integrable derivative without local extrema},
author = {Nikolay A. Gusev and Andrey E. Komagorov},
journal= {arXiv preprint arXiv:2505.10659},
year = {2025}
}
Comments
12 pages, 2 figures (in Russian)