On integral inequalities of the Sobolev type.
On Locally Subadditive Functions
On midpoint convex set-valued functions.
On Opial-type inequalities in two varaiables.
On separation theorems for subadditive and superadditive functionals
We generalize the well known separation theorems for subadditive and superadditive functionals to some classes of not necessarily Abelian semigroups. We also consider the problem of supporting subadditive functionals by additive ones in the not necessarily commutative case. Our results are motivated by similar extensions of the Hyers stability theorem for the Cauchy functional equation. In this context the so-called weakly commutative and amenable semigroups appear naturally. The relations between...
On solutions of functional equations determining subsemigroups of L¹₄
Let L¹₄ be the group of 4-jets at zero of diffeomorphisms f of ℝ with f(0) = 0. Identifying jets with sequences of derivatives, we determine all subsemigroups of L¹₄ consisting of quadruples (x₁,f(x₁,x₄),g(x₁,x₄),x₄) ∈ (ℝ∖{0}) × ℝ³ with continuous functions f,g:(ℝ∖{0}) × ℝ → ℝ. This amounts to solving a set of functional equations.
On some class of midconvex functions
On some inequalities and stability results related to the exponential function.
On some inequalities characterizing the exponential function
On some length biased inequalities for reliability measures.
On some new N-independent-variable discrete inequalities of the Gronwall type.
On some properties of Erdös sets
On some properties of J-convex stochastic processes.
On stability of additive mappings.
On the abstract Hahn-Banach theorem due to Rodé.
On the characterization of quasiarithmetic means with weight function.
On the equality condition in Hölder's and Minkowski inequalities.
On the equality condition in Hölder's and Minkowski's inequalities. (Summary).
On the exponential function and Pólya's proof
On the graph of a quasi-additive function.