关于凸域上最优加权Poincaré不等式的一个注记
最优化与控制
2012-11-07 v2 经典分析与常微分方程
摘要
我们证明了凸域上一类加权Poincaré不等式的最佳常数仅依赖于直径的尖锐上界。关键点在于研究一个最优加权Wirtinger不等式。
引用
@article{arxiv.1207.0680,
title = {A remark on optimal weighted Poincar\'e inequalities for convex domains},
author = {Vincenzo Ferone and Carlo Nitsch and Cristina Trombetti},
journal= {arXiv preprint arXiv:1207.0680},
year = {2012}
}
备注
Few typos have been corrected. 10 pages. No figures. arXiv admin note: substantial text overlap with arXiv:1110.2960