New Solutions to Mulholland Inequality

0442864 - ÚI 2016 RIV CA eng J - Journal Article
Petrík, Milan
New Solutions to Mulholland Inequality.
Aequationes Mathematicae. Roč. 89, č. 4 (2015), s. 1107-1122. ISSN 0001-9054. E-ISSN 1420-8903
R&D Projects: GA ČR GPP201/12/P055
Grant - others:GA MŠk(CZ) EE2.3.20.0051
Institutional support: RVO:67985807
Keywords : convex function * dominance of strict triangular norms * geometrically convex function * Minkowski inequality * Mulholland inequality * probabilistic metric spaces
Subject RIV: BA - General Mathematics
Impact factor: 1.000, year: 2015

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.
Permanent Link: http://hdl.handle.net/11104/0245681