A characterization of midconvex set-valued functions
A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities.
A functional inequality for real-analytic functions.
A logarithmic extension of the Hölder inequality.
A note on a functional inequality.
A pair of linear functional inequalities and a characterization of -norm
It is shown that, under some general algebraic conditions on fixed real numbers a,b,α,β, every solution f:ℝ → ℝ of the system of functional inequalities f(x+a) ≤ f(x)+α, f(x+b) ≤ f(x)+β that is continuous at some point must be a linear function (up to an additive constant). Analogous results for three other similar simultaneous systems are presented. An application to a characterization of -norm is given.
A reversed Poincaré inequality for monotone functions.
A sandwich theorem and Hyers-Ulam stability of affine functions.
A sandwich with convexity.
A separation theorem for -convex functions.
A simultaneous system of functional inequalities and mappings which are weakly of a constant sign.
A special solution of the inhomogeneous Schröder equation.
Absolutely linear relations.
Absolutely linear relations (Short Communication).
Additive f-bimorphisms and Cosine Type Equations
Additive selections of superadditive set-valued functions.
Affine selections of convex set-valued functions.
Almost approximately convex functions
Almost iterable functions.
Almost midconvex and almost convex set-valued functions