An improvement to a Berezin-Li-Yau type inequality
An improvement to a Berezin-Li-Yau type inequality
In this article we improve a lower bound for $\sum _{j=1}^k\beta _j$ (a Berezin-Li-Yau type inequality) that appeared in an earlier paper of Harrell and Yolcu. Here $\beta _j$ denotes the $j$th eigenvalue of the Klein Gordon Hamiltonian $H_{0,\Omega }=|p|$ when restricted to a bounded set $\Omega \subset {\mathbb R}^n$. …