关于某些泛函在重排下的单调性
最优化与控制
2014-02-14 v1
摘要
我们考虑 Polya--Szeg"o 型加权不等式。我们证明了该不等式对于单调重排和 Steiner 对称化均成立。
引用
@article{arxiv.1402.3006,
title = {On monotonicity of some functionals under rearrangements},
author = {S. V. Bankevich and A. I. Nazarov},
journal= {arXiv preprint arXiv:1402.3006},
year = {2014}
}
备注
22 pages. Russian version of this preprint is published in November 2013 and available at http://www.mathsoc.spb.ru/preprint/2013/index.html