Resumen de An improvement to a Berezin-Li-Yau type inequality

Selma Yildirim Yolcu

• In this article we improve a lower bound for (a Berezin-Li-Yau type inequality) that appeared in an earlier paper of Harrell and Yolcu. Here denotes the th eigenvalue of the Klein Gordon Hamiltonian when restricted to a bounded set . can also be described as the generator of the Cauchy stochastic process with a killing condition on . To do this, we adapt the proof of Melas, who improved the estimate for the bound of , where denotes the th eigenvalue of the Dirichlet Laplacian on a bounded domain in