Scale-invariant equal sacrifice in taxation and conditional functional equations.
Segments of Exponential Series and Regularly Varying Sequences
Solution of (2, 2)-type sum form functional equations with several unknown functions.
Solution of a Cauchy-Jensen stability Ulam type problem
In 1978 P. M. Gruber (Trans. Amer. Math. Soc. 245 (1978), 263–277) imposed the following general problem or Ulam type problem: “Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate this objects by objects, satisfying the property exactly?" The afore-mentioned problem of P. M. Gruber is more general than the following problem imposed by S. M. Ulam in 1940 (Intersci, Publ., Inc., New York 1960): “Give conditions in order for a linear mapping...
Solution of a quadratic stability Ulam type problem
In 1940 S. M. Ulam (Intersci. Publ., Inc., New York 1960) imposed at the University of Wisconsin the problem: “Give conditions in order for a linear mapping near an approximately linear mapping to exist”. According to P. M. Gruber (Trans. Amer. Math. Soc. 245 (1978), 263–277) the afore-mentioned problem of S. M. Ulam belongs to the following general problem or Ulam type problem: “Suppose a mathematical object satisfies a certain property approximately. Is it then possible to approximate this objects...
Solutions of a system of functional equations in some class functions.
Some aspects of convex functions and their applications.
Some discrete Poincaré-type inequalities.
Some functional equations in the space of uniform distribution functions.
Some inequalities connected with the exponential function
The paper is devoted to some functional inequalities related to the exponential mapping.
Some new inequalities for the gamma, beta and zeta functions.
Some theorems on differentiable solutions of a system of functional equations of n-th order
Stability of a Jensen type logarithmic functional equation on restricted domains and its asymptotic behaviors.
Stability results for some functional equations of quadratic-type.
Sur la caractérisation de la fonction f(x) = x par des équations fonctionnelles, II. (Short Communication).
Sur l'équation f(x)f(y)f(-x-y) = g(x)g(y)g(-x-y).
Sur les équations fonctionelles p-adiques aux q-différences.
Sur une classe des groupes continus à un paramètre formés des fonctions réelles d'une variable