Showing 2025Show all
2 papers · 1 filter
math.CA2025
Nowhere monotone Riemann integrable derivative without local extrema
Nikolay A. Gusev, Andrey E. Komagorov
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 h…
math.AP2025
On the weak Sard property
Roman V. Dribas, Andrew S. Golovnev, Nikolay A. Gusev
If is of class then Sard's theorem implies that has the following relaxed Sard property: the image under of the Lebesgue measure rest…