Geodesic
On the Composition of Quasiconvex Functions and the Transposition
Journal of convex analysis, Tome 6 (1999) no. 1, pp. 207-214.

Voir la notice de l'article provenant de la source Heldermann Verlag

The paper shows that the composition of a quasiconvex function (taking the value +infty) with the transposition is not necessarily a quasiconvex function.
Classification : 26B25, 49R99
Mots-clés : Polyconvexity, quasiconvexity, rank-one convexity 
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     author = {M. Kruzik},
     title = {On the {Composition} of {Quasiconvex} {Functions} and the {Transposition}},
     journal = {Journal of convex analysis},
     pages = {207--214},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {1999},
     url = {http://geodesic.mathdoc.fr/item/JCA_1999_6_1_JCA_1999_6_1_a12/}
}
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M. Kruzik. On the Composition of Quasiconvex Functions and the Transposition. Journal of convex analysis, Tome 6 (1999) no. 1, pp. 207-214. http://geodesic.mathdoc.fr/item/JCA_1999_6_1_JCA_1999_6_1_a12/