Properties of a function of E. Marczewski
Sur la transformation d'une fonction mesurable en une fonction sommable
On some generalization of the notion of asymmetry of functions
On the holomorphism of the integral with respect to a complex parameter
Subadditive functions and partial converses of Minkowski's and Mulholland's inequalities
Let ϕ be an arbitrary bijection of . We prove that if the two-place function is subadditive in then must be a convex homeomorphism of . This is a partial converse of Mulholland’s inequality. Some new properties of subadditive bijections of are also given. We apply the above results to obtain several converses of Minkowski’s inequality.
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