New solutions to Mulholland inequality
New solutions to Mulholland inequality
复制标题
穆赫兰不平等的新解决方案
DOI：
10.1007/s00010-014-0327-x
复制
发表时间：
2015
影响因子：
0.8
通讯作者：
Milan Petrík
中科院分区：
文献类型：
--
作者：
Milan Petrík
本文给出了与穆赫兰不等式相关的两个开放性问题的答案。首先，证明了Mulholland不等式的解比Mulholland条件所限定的解存在更大的解集。其次，证明了求解Mulholland不等式的函数集对于组合是不闭合的。
The paper gives answer to two open questions related to Mulholland’s inequality. First, it is shown that there exists a larger set of solutions to Mulholland’s inequality compared to the one delimited by Mulholland’s condition. Second, it is demonstrated that the set of functions solving Mulholland’s inequality is not closed with respect to compositions.