On Information-Improvement and its Generalization.
On integral inequalities of the Sobolev type.
On iteration groups and related functional equations.
On iteration groups of certain functions
On iterative roots of a homeomorphism of the circle with an irrational rotation number.
On Jensen's functional equation.
On Jensen's functional equation. (Summary).
On linear homogeneous functional equations in the indeterminate case
On Lipschitz property of solutions of functional equations.
On Lipschitzian solutions of a functional equation
On local properties of compactly supported solutions of the two-coefficient dilation equation.
On locally bounded solutions of Schilling's problem
We prove that for some parameters q ∈ (0,1) every solution f:ℝ → ℝ of the functional equation f(qx) = 1/(4q) [f(x-1) + f(x+1) + 2f(x)] which vanishes outside the interval [-q/(1-q),q/(1-q)] and is bounded in a neighbourhood of a point of that interval vanishes everywhere.
On Locally Subadditive Functions
On mappings, orthogonally additive in the Birkhoff-James sense.
On measurable solutions of a functional equation and its application to information theory
On measurable solutions of a functional equation and their application to information theory
In this paper, measurable solutions of a functional equation with four unknown functions are obtained. As an application of the measurable solutions a joint characterization of Shannon’s entropy and entropy of type is given.
On measures connected with the Cauchy equation.
On measures connected with the Cauchy equation. (Short Communication).
On measures of relative ‘useful’ information
On Meromorphic Solutions of a Functional Equation of Ganapathy Iyer.