New solutions to Mulholland inequality

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• 作者：Milan Petrík
• 关键词：Primary 26D07 ; Secondary 39B72 ; 26D15 ; 26A51 ; 03E72 ; 54E70 ; Convex function ; dominance of strict triangular norms ; geometrically convex function ; Minkowski inequality ; Mulholland inequality ; probabilistic metric spaces
• 刊名：Aequationes Mathematicae
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：89
• 期：4
• 页码：1107-1122
• 全文大小：718 KB
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• 作者单位：Milan Petrík (1) (2)
  
  1. Department of Mathematics, Faculty of Engineering, Czech University of Life Sciences, Prague, Czech Republic
  2. Institute of Computer Science, Academy of Sciences, Prague, Czech Republic
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Combinatorics
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8903

文摘

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.