A characterization of -convex functions.
A comparative study of functional equations characterising sine and cosine.
A functioanl identity characterizing polynomials.
A functional inequality in restricted domains of Banach modules.
A generalization of Bellman's functional equation.
A generalized Beckenbach-Dresher inequality and related results.
A Mixid Theory of Information - IV: Inset-Inaccuracy and Directed Divergence.
A potpourri of Schwarz related inequalities in inner product spaces. II.
A review of selected topics in majorization theory
In this expository paper, some recent developments in majorization theory are reviewed. Selected topics on group majorizations, group-induced cone orderings, Eaton triples, normal decomposition systems and similarly separable vectors are discussed. Special attention is devoted to majorization inequalities. A unified approach is presented for proving majorization relations for eigenvalues and singular values of matrices. Some methods based on the Chebyshev functional and similarly separable vectors...
A structure theorem for sum form functional equations.
A system of functional equations related to plurality functions. A method for the construction of the solutions.
A system on functional equations related to plurality functions. A method for the construction of the solutions. (Summary).
A variant of Jessen's inequality and generalized means.
A variant of Jessen's inequality of Mercer's type for superquadratic functions.
A vector functional equation and linear differential equations.
Abstract separation theorems of Rodé type and their applications
Sufficient and necessary conditions are presented under which two given functions can be separated by a function Π-affine in Rodé sense (resp. Π-convex, Π-concave). As special cases several old and new separation theorems are obtained.
Accuracy of Several Multidimensional Refinable Distributions.
Addition theorems and related geometric problems of group representation theory
The Levi-Civita functional equation (g,h ∈ G), for scalar functions on a topological semigroup G, has as the solutions the functions which have finite-dimensional orbits in the right regular representation of G, that is the matrix elements of G. In considerations of some extensions of the L-C equation one encounters with other geometric problems, for example: 1) which vectors x of the space X of a representation have orbits O(x) that are “close” to a fixed finite-dimensional subspace? 2) for...
Additive functional inequalities in Banach modules.
Affine and convex functions with respect to the logarithmic mean
The class of all functions f:(0,∞) → (0,∞) which are continuous at least at one point and affine with respect to the logarithmic mean is determined. Some related results concerning the functions convex with respect to the logarithmic mean are presented.