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arXiv · 2505.10659

Nowhere monotone Riemann integrable derivative without local extrema

Nikolay A. Gusev·Andrey E. Komagorov
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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 $G$.

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Nikolay A. Gusev, Andrey E. Komagorov. 2025-05-15. Nowhere monotone Riemann integrable derivative without local extrema. https://arxiv.org/abs/2505.10659

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