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Two dimensional Berezin-Li-Yau inequalities with a correction term

arXiv:0802.2792 · doi:10.1007/s00220-008-0692-1

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.

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