Scale-invariant equal sacrifice in taxation and conditional functional equations.
Solution générale d'une équation fonctionelle dans le domaine des fonctions analytiques
Some binary representations of real numbers and odd solutions of the functional equation ... .
Some Characterization Theorems for Generalized Measures of Uncertainty and Information.
Some Existence Theorems for Functional Equations in Many Variables and the Characterization of Weighted Quasi-Arithmetic Means
Some Existence Theorems for Functional Equations in Many Variables and the Characterization of Weighted Quasi-Arithmetic Means (Short Communication)
Some remarks on a problem of C. Alsina.
Equation[1] f(x+y) + f (f(x)+f(y)) = f (f(x+f(y)) + f(f(x)+y))has been proposed by C. Alsina in the class of continuous and decreasing involutions of (0,+∞). General solution of [1] is not known yet. Nevertheless we give solutions of the following equations which may be derived from [1]:[2] f(x+1) + f (f(x)+1) = 1,[3] f(2x) + f(2f(x)) = f(2f(x + f(x))).Equation [3] leads to a Cauchy functional equation:[4] phi(f(x)+x) = phi(f(x)) + phi(x),restricted to the graph of the function f,...
Some remarks on Karmarkar's potential function.
Some reproducing identities for families of mean values.
Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory
In economic systems, reactions to external shocks often come with a delay. On the other hand, agents try to anticipate future developments. Both can lead to difference-differential equations with an advancing argument. These are more difficult to handle than either difference or differential equations, but they have the merit of added realism and increased credibility. This paper generalizes a model from monetary economics by von Kalckreuth and Schröder. Working out its stability properties, we...
Sub Additive Measures of Relative Information and Inaccuracy.
Sulla costruzione della soluzione generale di una classe di equazioni funzionali.
We consider a functional equation of the formG(x, phi(f1(x)), ..., phi(fr(x))) = cin the unknown function phi.We present a method to construct the general solution of this equation under suitable hypotheses on the functions Inf i fi and Supi fi.
Sums of weight vectors and sums of semilinear functions.
Supersensitivity for a discrete-time aggregation model.
Sur la détermination de certains sous-groupes du groupe à l’aide d’équations fonctionnelles [Book]
Sur les solutions d'une éqaution fonctionnelle, II.
Sur les solutions d'une équation fonctionelle.
Sur les solutions d'une équation fonctionelle, III.
Sur les solutions d'une équation fonctionnelle, II. (Short Communication).
Sur les solutions d'une équation fonctionnelle, III. (Short Communication).