Two dimensional Berezin-Li-Yau inequalities with a correction term
Spectral Theory
2010-09-24 v1
Abstract
We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the correction term is almost optimal. This improves a previous result by Melas.
Keywords
Cite
@article{arxiv.0802.2792,
title = {Two dimensional Berezin-Li-Yau inequalities with a correction term},
author = {Hynek Kovarik and Semjon Vugalter and Timo Weidl},
journal= {arXiv preprint arXiv:0802.2792},
year = {2010}
}
Comments
6 figures