-minimal pairs of compact convex sets.
C1,... partial regularity of functions minimising quasiconvex integrals.
Characterization of convex functions
There are many inequalities which in the class of continuous functions are equivalent to convexity (for example the Jensen inequality and the Hermite-Hadamard inequalities). We show that this is not a coincidence: every nontrivial linear inequality which is valid for all convex functions is valid only for convex functions.
Characterizations of convex vector functions and optimization.
Characterizations of ultrabarrelledness and barrelledness involving the singularities of families of convex mappings.
Companion inequalities to Jensen's inequality for -convex and -convex functions.
Compensated convexity and its applications
Complete extension of a convex function
Continuity of the superposition of set-valued functions.
Convergence of convex functions and generalized inf-convolutive approximations. (Convergences des fonctions convexes et approximations inf-convolutives généralisées.)
Convessità in dimensione finita
Convex and monotone operator functions
The purpose of this note is to provide characterizations of operator convexity and give an alternative proof of a two-dimensional analogue of a theorem of Löwner concerning operator monotonicity.
Convexity-like inequalities for averages in a convex set.
Convexity-like inequalities for averages in a convex set. (Summary).