R-and T-Groupoids: A Generalization of Groups.
Random stability of an additive-quadratic-quartic functional equation.
Rank of matrices and the Pexider equation.
Rational recursive equations characterizing cotangent-tangent and hyperbolic cotangent-tangent functions.
Recent results on the stability of the parametric fundamental equation of information.
Récurrences - et -mahlériennes
On sait (Cobham) qu’une suite - et -automatique est une suite rationnelle. Une question de Loxton et van der Poorten étend ce résultat au cas - et -régulier. On montre dans cet article que, si une suite vérifie une récurrence - et -mahlérienne d’ordre un, elle est rationnelle.
Recursive inset entropies of multiplicative type on open domains.
Refinement type equations: sources and results
It has been proved recently that the two-direction refinement equation of the form can be used in wavelet theory for constructing two-direction wavelets, biorthogonal wavelets, wavelet packages, wavelet frames and others. The two-direction refinement equation generalizes the classical refinement equation , which has been used in many areas of mathematics with important applications. The following continuous extension of the classical refinement equation has also various interesting applications....
Regular fractional iteration of convex functions
The existence of a unique solution φ of equation (1) is proved under the condition that f: I → I is convex or concave and of class in I, 0 < f(x) < x in I*, and f’(x) > 0 in I. Here I = [0, a] or [0, a), 0 < a ≤ ∞, and I* = I 0.
Regular fractional iterations.
Regular hexagons in normed spaces and a theorem of Walter Benz.
Regular Iteration in the Case of Multiplier Zero
Regularity of Refinable Functions Vectors.
Regularity properties of functional equations.
Regularity Properties of Functional Equations
Regularity properties of functional equations and inequalities.
Regularity properties of functional equations. (Short Communication).
Regularity Properties of Functional Equations (Short Communication)
Regularization and general methods in the theory of functional equations.
Relations de dépendance entre les équations fonctionelles de Cauchy.