Bemerkungen über stetige Funktionen in einer p-adischen Variablen.
Bernstein’s analyticity theorem for quantum differences
We consider real valued functions defined on a subinterval of the positive real axis and prove that if all of ’s quantum differences are nonnegative then has a power series representation on . Further, if the quantum differences have fixed sign on then is analytic on .
Best possible inequalities between generalized logarithmic mean and classical means.
Borel’s theorem for -functions on a non-archimedean valued field
Bounded solutions for fuzzy integral equations.
Bounds for certain new integral inequalities on time scales.
Bounds for quotients in rings of formal power series with growth constraints
In rings of formal power series in several variables whose growth of coefficients is controlled by a suitable sequence (such as rings of Gevrey series), we find precise estimates for quotients F/Φ, where F and Φ are series in such that F is divisible by Φ in the usual ring of all power series. We give first a simple proof of the fact that F/Φ belongs also to , provided is stable under derivation. By a further development of the method, we obtain the main result of the paper, stating that...
Brisure de symétrie spontanée et géométrie du point de vue spectral
-antiderivatives of -adic -functions
-diffeomorphismen semianalytischer und subanalytischer Mengen
Calcul différentiel dans les espaces vectoriels topologiques
Calculations of graded ill-known sets
To represent a set whose members are known partially, the graded ill-known set is proposed. In this paper, we investigate calculations of function values of graded ill-known sets. Because a graded ill-known set is characterized by a possibility distribution in the power set, the calculations of function values of graded ill-known sets are based on the extension principle but generally complex. To reduce the complexity, lower and upper approximations of a given graded ill-known set are used at the...
Caractérisation des anneaux noethériens de séries formelles à croissance controlée. Application à la synthèse spectrale.
Given a subring of the ring of formal power series defined by the growth of the coefficients, we prove a necessary and sufficient condition for it to be a noetherian ring. As a particular case, we show that the ring of Gevrey power series is a noetherian ring. Then, we get a spectral synthesis theorem for some classes of ultradifferentiable functions.
Caractérisation tangentielle des classes de Carleman de fonctions holomorphes
Cauchy means for signed measures.
Central Orderings in Fields of Real Meromorphic Function Germs.
Certain bounds for the differences of means.
Characterization of Globally Lipschitz Nemytskiĭ Operators Between Spaces of Set-Valued Functions of Bounded φ-Variation in the Sense of Riesz
Let (X,∥·∥) and (Y,∥·∥) be two normed spaces and K be a convex cone in X. Let CC(Y) be the family of all non-empty convex compact subsets of Y. We consider the Nemytskiĭ operators, i.e. the composition operators defined by (Nu)(t) = H(t,u(t)), where H is a given set-valued function. It is shown that if the operator N maps the space into (both are spaces of functions of bounded φ-variation in the sense of Riesz), and if it is globally Lipschitz, then it has to be of the form H(t,u(t)) = A(t)u(t)...
Characterization of the collapsing meromorphic products.
Characterizing Optimality in Nonconvex Optimizationi