On a Cauchy-Jensen functional inequality.
On a functional equation connected to sum form nonadditive information measures on an open domain (III).
This is a part of a recent program by a number of authors to study information measures on open domain. In this series, this paper is devoted to the study of the functional equation (2) on an open domain. This functional equation is connected to the weighted entropy and weighted entropy of degree a.
On a functional equation connected to sum form nonadditive information measures on an open domain. I.
On a functional equation of Pexider type.
On a generalization of sum form functional equation (I).
The Shannon entropy has the sum form ∑f(pi) with f(x) = -x logx (x belonging to [0,1]). This together with the property of additivity leads to the 'sum' functional equation...
On a modified version of Jensen inequality.
On a system of functional equations.
On a System of Functional Equations
On a System of Functional Equations in Information Theory.
On an open problem regarding an integral inequality.
On approximate solutions of a system of functional equations
On continuous solutions of systems of functional equations
On convex and *-concave multifunctions
A continuous multifunction F:[a,b] → clb(Y) is *-concave if and only if the inclusion holds for every s,t ∈ [a,b], s < t.
On derivations on certain function spaces and their relation to the differential operator. (Über Derivationen auf gewissen Funktionenräumen und deren Beziehung zum Differentiationsoperator.)
On differentiable solutions of some systems of functional equations of p-th order
On functional inequalities originating from module Jordan left derivations.
On functions with the Cauchy difference bounded by a functional. II.
On Functions with the Cauchy Difference Bounded by a Functional
K. Baron and Z. Kominek [2] have studied the functional inequality f(x+y) - f(x) - f(y) ≥ ϕ (x,y), x, y ∈ X, under the assumptions that X is a real linear space, ϕ is homogeneous with respect to the second variable and f satisfies certain regularity conditions. In particular, they have shown that ϕ is bilinear and symmetric and f has a representation of the form f(x) = ½ ϕ(x,x) + L(x) for x ∈ X, where L is a linear function. The purpose of the present...
On generalized hyperbolic functions and their characterization by functional equations.
On generalized invariant means and separation theorems.