Quantitative Kröger inequalities for Neumann eigenvalues of convex domains

Dorin Bucur, Andrea Gentile, Antoine Henrot

Refining the sharp upper bounds ${\mu }_{k,d}^{\ast }$ obtained by Kröger (1999) for the $k$-th Neumann eigenvalue of a convex domain $\Omega \subset {\mathbb{R}}^d$, we prove the following inequali…