Valeurs absolues des algèbres de Krasner
Valeurs critiques asymptotiques d'une fonction définissable dans une structure o-minimale
We prove that the set of asymptotic critical values of a function definable in an o-minimal structure is finite, even if the structure is not polynomially bounded. As a consequence, the function is a locally trivial fibration over the complement of this set.
Variants of Čebyšev's inequality with applications.
Variants of Karamata's Iteration Theorem
Variation of quasiconformal mappings on lines
We obtain improved regularity of homeomorphic solutions of the reduced Beltrami equation, as compared to the standard Beltrami equation. Such an improvement is not possible in terms of Hölder or Sobolev regularity; instead, our results concern the generalized variation of restrictions to lines. Specifically, we prove that the restriction to any line segment has finite p-variation for all p > 1 but not necessarily for p = 1.
Variation preserving extensions and generalized essential variation.
Variation totale d'une fonction
Variational fractals
Variational Henstock integrability of Banach space valued functions
We study the integrability of Banach space valued strongly measurable functions defined on . In the case of functions given by , where are points of a Banach space and the sets are Lebesgue measurable and pairwise disjoint subsets of , there are well known characterizations for Bochner and Pettis integrability of . The function is Bochner integrable if and only if the series is absolutely convergent. Unconditional convergence of the series is equivalent to Pettis integrability of ....
Variational measures in the theory of the integration in
We study properties of variational measures associated with certain conditionally convergent integrals in . In particular we give a full descriptive characterization of these integrals.
Variational measures related to local systems and the Ward property of -adic path bases
Some properties of absolutely continuous variational measures associated with local systems of sets are established. The classes of functions generating such measures are described. It is shown by constructing an example that there exists a -adic path system that defines a differentiation basis which does not possess Ward property.
Variational Problems with Non-Convex Obstacles an and Integral-Constraint for Vector-Valued Functions.
Variations of additive functions
We study the relationship between derivates and variational measures of additive functions defined on families of figures or bounded sets of finite perimeter. Our results, valid in all dimensions, include a generalization of Ward’s theorem, a necessary and sufficient condition for derivability, and full descriptive definitions of certain conditionally convergent integrals.
Variations of discrete analogues of Wirtinger's inequality
Variations on the Theme of the Inequality (f')2 ... 2f sup |f''|.
Vector valued Loeb measures and the Lewis integral.
Vector-valued fractal interpolation functions and their box dimension.
Verallgemeinerte konvexe Funktionen.
Verschärfung einer Ungleichung von Ky Fan.
Versuch einer Classification der willkürlichen Functionen reeller Argumente nach ihren Aenderungen in den kleinsten Intervallen.