New Solutions to Mulholland Inequality

0442864 - ÚI 2016 RIV CA eng J - Článek v odborném periodiku
Petrík, Milan
New Solutions to Mulholland Inequality.
Aequationes Mathematicae. Roč. 89, č. 4 (2015), s. 1107-1122. ISSN 0001-9054. E-ISSN 1420-8903
Grant CEP: GA ČR GPP201/12/P055
Grant ostatní: GA MŠk(CZ) EE2.3.20.0051
Institucionální podpora: RVO:67985807
Klíčová slova: convex function * dominance of strict triangular norms * geometrically convex function * Minkowski inequality * Mulholland inequality * probabilistic metric spaces
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.000, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0245681