Ralph Howard

collaborators

2 papers

math.CA2025

Continuous nowhere differentiable multivariate functions

Maria Girardi, Ralph Howard

Let $U$ be an open set in $R^{d}$ . A continuous function $f : U \to R$ is strongly nowhere differentiable if and only if for each $I^^{3} \in (0, 1]$ and for each unit…

math.FA2025

The Gronwall inequality

Ralph Howard

We prove the following version generalization of the Gronwall inequality: Let $X$ be a Banach space and $U \subset X$ an open convex set in $X$ . Let $f,g\col…