A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities.
Aequationes mathematicae, Tome 40 (1990) no. 1, pp. 168-180.

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Mots-clés : convex functions, conjugacy, Hölder’s inequality, functional inequality, Minkowski's inequalities
@article{AM2_1990__40_1_137371,
     author = {J. Matkowski},
     title = {A functional inequality characterizing convex functions, conjugacy and a generalization of {H\"older's} and {Minkowski's} inequalities.},
     journal = {Aequationes mathematicae},
     pages = {168--180},
     publisher = {mathdoc},
     volume = {40},
     number = {1},
     year = {1990},
     zbl = {0715.39013},
     url = {http://geodesic.mathdoc.fr/item/AM2_1990__40_1_137371/}
}
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J. Matkowski. A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities.. Aequationes mathematicae, Tome 40 (1990) no. 1, pp. 168-180. http://geodesic.mathdoc.fr/item/AM2_1990__40_1_137371/