Name
Abstract | ||
|---|---|---|
Mulholland inequality is a real functional inequality presented in 1950 in a paper by Mulholland as a generalization of the Minkowski inequality. In his paper, Mulholland has also provided a sufficient condition for the inequality to be satisfied. However, until now, it has remained an open problem whether this sufficient condition is also necessary. This paper investigates a geometric interpretation of Mulholland inequality and offers a class of functions satisfying the inequality which is strictly larger compared to the class delimited by the Mulholland's condition. Thus, it is proven that the condition is not necessary. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/ISMVL.2013.1 | Multiple-Valued Logic |
Keywords | Field | DocType |
fuzzy logic,Minkowski inequality,Mulholland condition,Mulholland inequality,Mulholland theorem,alternative proof,functional inequality,geometric interpretation,triangular norms,Dominance relation,Minkowski inequality,Mulholland inequality,triangular norm | Discrete mathematics,Open problem,Rearrangement inequality,Hölder's inequality,Minkowski inequality,Inequality,Kantorovich inequality,Ky Fan inequality,Log sum inequality,Mathematics | Conference |
ISSN | ISBN | Citations |
0195-623X E-ISBN : 978-0-7695-4976-7 | 978-0-7695-4976-7 | 2 |
PageRank | References | Authors |
0.50 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Milan Petrík | 1 | 44 | 8.09 |
| mirko navara | 2 | 367 | 46.14 |
| Peter Sarkoci | 3 | 113 | 12.64 |