General solution of a system of functional equations satisfied by sums of powers on arithmetic progressions.
Generalized distributivity for real, continuous functions. I: Structure theorems and surjective solutions.
Generalized distributivity for real, continuous functions. II: Local solutions in the continuous case.
Generalized inequalities for indefinite forms.
Generalized midconvexity
There are many types of midconvexities, for example Jensen convexity, t-convexity, (s,t)-convexity. We provide a uniform framework for all the above mentioned midconvexities by considering a generalized middle-point map on an abstract space X. We show that we can define and study the basic convexity properties in this setting.
Generalized orthogonal stability of some functional equations.