Scale-invariant equal sacrifice in taxation and conditional functional equations.
Segments of Exponential Series and Regularly Varying Sequences
Separation by monotonic functions.
Separation of convex polyhedral sets with column parameters
Separation is a famous principle and separation properties are important for optimization theory and various applications. In practice, input data are rarely known exactly and it is advisable to deal with parameters. In this article, we are concerned with the basic characteristics (existence, description, stability etc.) of separating hyperplanes of two convex polyhedral sets depending on parameters. We study the case, when parameters are situated in one column of the constraint matrix from the...
Separation via quadratic functions.
Separation via quadratic functions. (Summary).
Sesquilinear-orthogonally quadratic mappings.
Small sets and a class of general functions.
Smoothness in disjoint groups of real functions under composition.
Sobre algunas medias de funciones asociativas.
Some functional equations involving means of associative functions are investigated.
Sobre la sección diagonal y la región cero de una t-norma.
We prove that two archimedean t-norms with equal diagonal sections and zero-sets must be identical.
Solution and stability of a mixed type additive, quadratic, and cubic functional equation.
Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces.
Solution complète au problème de Siegel de linéarisation d'une application holomorphe au voisinage d'un point fixe
Solution générale d'une classe d'équations fonctionnelles cycliques linéaires et non homogènes
Solution générale d'une classe des équations fonctionnelles cycliques linéaires et homogènes
Solution générale d'une équation fonctionelle dans le domaine des fonctions analytiques
Solution générale sur un groupe abélien de l'équation fonctionelle f(x*f(y)) = f(f(x)*y).
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...