Refined multidimensional Hardy-type inequalities via superquadracity.
Refinements of the Hermite-Hadamard inequality for convex functions.
Remarks on strongly Wright-convex functions
Some properties of strongly Wright-convex functions are presented. In particular it is shown that a function f:D → ℝ, where D is an open convex subset of an inner product space X, is strongly Wright-convex with modulus c if and only if it can be represented in the form f(x) = g(x)+a(x)+c||x||², x ∈ D, where g:D → ℝ is a convex function and a:X → ℝ is an additive function. A characterization of inner product spaces by strongly Wright-convex functions is also given.
Remarks on the comparison of weighted quasi-arithmetic means
We present comparison theorems for the weighted quasi-arithmetic means and for weighted Bajraktarević means without supposing in advance that the weights are the same.
Remarques sur certaines formules de la moyenne
Remarques sur les isomorphismes entre espaces d'Orlicz