Hyers-Ulam stability of the generalized trigonometric formulas.
Hyers-Ulam stability of the linear recurrence with constant coefficients.
Hyers-Ulam-Rassias and Ulam-Gavruta-Rassias stabilities of an additive functional equation in several variables.
Hyers--Ulam--Rassias stability of a generalized Pexider functional equation.
Hyers-Ulam-Rassias stability of generalized derivations.
Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras.
Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras.
Hyers-Ulam-Rassias stability of the Apollonius type quadratic mapping in RN-spaces.
Hyers-Ulam-Rassias stability of the -quadratic functional equation.
Hyperstability of a class of linear functional equations.
Hypertranscendency of conjugacies in complex dynamics.
Implications between approximate convexity properties and approximate Hermite-Hadamard inequalities
The connection between the functional inequalities and is investigated, where D is a convex subset of a linear space, f: D → ℝ, α H;α J: D-D → ℝ are even functions, λ ∈ [0; 1], and ρ: [0; 1] →ℝ+ is an integrable nonnegative function with ∫01 ρ(t) dt = 1.
Improved -convexity inequalities.
Inégalité de Brunn-Minkowski-Lusternik, et autres inégalités géométriques et fonctionnelles
La théorie des corps convexes a commencé à la fin du xixe siècle avec l’inégalité de Brunn, généralisée ensuite sous la forme de l’inégalité de Brunn-Minkowski-Lusternik, qui s’applique à des ensembles non convexes. Ce thème a depuis longtemps des contacts avec les problèmes isopérimétriques et avec des inégalités d’Analyse telle que les plongements de Sobolev. On développera quelques aspects plus récents des inégalités géométriques, dont certains sont liés à la technique du transport de mesure,...
Inequalities in additive -isometries on linear -normed Banach spaces.
Inequalities via Lagrange multipliers.
Information and entropy of countable measurable partitions. I
Information and Probability: Collectors and Shannon Compositivity.
Informazione relativa in uno spazio con legge d'indipendenza qualsiasi.
The notion of relative measure of information in an abstract information space with generalized independence law is studied. The axiomatic definition is given and the form of dependence on the absolute measures is determined, as a solution of a system of functional equations.