On Mulholland's inequality

Authors:
Witold Jarczyk and Janusz Matkowski

Journal:
Proc. Amer. Math. Soc. **130** (2002), 3243-3247

MSC (2000):
Primary 39B72, 26D15; Secondary 26A51

Published electronically:
June 11, 2002

MathSciNet review:
1913002

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

**Witold Jarczyk**

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

Email:
w.jarczyk@im.uz.zgora.pl

**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

Email:
j.matkowski@im.uz.zgora.pl

DOI:
http://dx.doi.org/10.1090/S0002-9939-02-06708-4

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

Received by editor(s):
June 4, 2001

Published electronically:
June 11, 2002

Communicated by:
Jonathan M. Borwein

Article copyright:
© Copyright 2002
American Mathematical Society