Generalization of sum representation functional equations. II: Generalized directed divergence
Generalized Associativity on Grupoids
Generalized Cauchy functional equation and characterizations of inner product spaces.
Generalized Cauchy functional equation and characterizations of inner product spaces. (Summary).
Generalized characteristic equation of branching information measures.
Generalized distributivity equation on GD-groupoids
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 functional equation of two variables in information theory
Generalized fundamental equation of information of multiplicative type.
Generalized Hyers-Ulam stability of an AQCQ-functional equation in non-Archimedean Banach spaces.
Generalized Hyers-Ulam stability of generalized -derivations.
Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach.
Generalized Hyers-Ulam-Rassias theorem in Menger probabilistic normed spaces.
Generalized inequalities for indefinite forms.
Generalized Jensen's equations in Banach modules over a unital -algebra.
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.
Generalized sine equations, I.
Generalized sine equations, I. (Summary).