New Solutions to Mulholland Inequality

Authors: Milan Petrík
Publication year: 2015
Publication type: Článek v odborném periodiku
Periodical: Aequationes Mathematicae
Projects: Geometry of associative structures
Bibliographic citation: PETRÍK, Milan. New Solutions to Mulholland Inequality. Aequationes Mathematicae. 2015, 89(4), 1107-1122. ISSN 0001-9054. E-ISSN 1420-8903
Dostupné z: doi:10.1007/s00010-014-0327-x
DOI: 10.1007/s00010-014-0327-x
ID: 442864

Abstract

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.