A note on stability of multivariate distributions.
In this note we give an elementary proof of a characterization for stability of multivariate distributions by considering a functional equation.
A note on the convolution theorem for the Fourier transform
In this paper we characterize those bounded linear transformations carrying into the space of bounded continuous functions on , for which the convolution identity holds. It is shown that such a transformation is just the Fourier transform combined with an appropriate change of variable.
A note on the parameters of rational iteration groups.
A note to paper “On the stability of cubic mappings and quartic mappings in random normed spaces”.
A package for symbolic solution of real functional equations of real variables.
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 potpourri of Schwarz related inequalities in inner product spaces. II.
A Proof of the Equivalence of the Equation f (x + y - xy) + f (xy) = f (x) + f (y) and Jensen's Functional Equation. (Short Communication).
A Proof of theEquivalence of the Equation f(x+y-xy)+f(xy) = f(x) + (y) and Jensen's Functional Equa tion
A reconsideration of the "three squares" problem.
A remark on generalized iterates.
A remark on -systems in groups
A remark on th-order linear functional equations with constant coefficients.
A Remark on the Functional Equation ... (xi) = ....
A representation theorem for entropies with the branching property.
A reversed Poincaré inequality for monotone functions.
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 sandwich theorem and Hyers-Ulam stability of affine functions.
A sandwich with convexity.
A separation theorem for -convex functions.