Improved Berezin-Li-Yau inequality and Kröger inequality and consequences

Zaihui Gan, Renjin Jiang, Fanghua Lin

We provide quantitative improvements to the Berezin-Li-Yau inequality and the Kröger inequality, in ${\mathbb{R}}^n$, $n\ge 2$. The improvement on Kröger's inequality resolves an ope…