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On Mulholland's inequality
Authors:Witold Jarczyk   Janusz Matkowski
Affiliation:Institute of Mathematics, Technical University, Podgórna 50, PL--65--246 Zielona Góra, Poland -- and -- Institute of Mathematics, Silesian University, Bankowa 14, PL--40--007 Katowice, Poland ; Institute of Mathematics, Technical University, Podgórna 50, PL--65--246 Zielona Góra, Poland -- and -- Institute of Mathematics, Silesian University, Bankowa 14, PL--40--007 Katowice, Poland
Abstract:H.P. Mulholland has presented a sufficient condition for a generalization of the Minkowski inequality and another such condition was given by R.M. Tardiff. We show that Mulholland's condition implies Tardiff's, but that the converse is false.

Keywords:Generalizations of the Minkowski inequality   Mulholland's inequality   convex functions   geometrically convex functions
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