Metrics on vector spaces with -localisation.
Micro tangent sets of continuous functions
Motivated by the concept of tangent measures and by H. Fürstenberg’s definition of microsets of a compact set we introduce micro tangent sets and central micro tangent sets of continuous functions. It turns out that the typical continuous function has a rich (universal) micro tangent set structure at many points. The Brownian motion, on the other hand, with probability one does not have graph like, or central graph like micro tangent sets at all. Finally we show that at almost all points Takagi’s...
Midpoint convex functions majorized by midpoint concave functions.
Midpoint convex functions majorized by midpoint concave functions. (Short Communication).
Mild solutions for semilinear fractional differential equations.
Minimal pairs of bounded closed convex sets
The existence of a minimal element in every equivalence class of pairs of bounded closed convex sets in a reflexive locally convex topological vector space is proved. An example of a non-reflexive Banach space with an equivalence class containing no minimal element is presented.
Minimal pairs representing selections of four linear functions in .
Minimal rearrangements of Sobolev functions.
Minimal rearrangements of Sobolev functions
Minkowski’s inequality and sums of squares
Positive polynomials arising from Muirhead’s inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski’s inequality can be rewritten as sums of squares.
Minorations pour les mesures de Mahler de certains polynômes particuliers
Dans cet article nous donnons des minorations de la mesure de Mahler des polynômes totalement positifs et totalement réels. Ces résultats sont supérieurs à ceux obtenus par A. Schinzel, M. J. Bertin et V. Flammang.
Mittag-Leffler stability theorem for fractional nonlinear systems with delay.
Mittelwertungleichungen für Lösungen gewisser Differenzgleichungen.
Mixed arithmetic and geometric means and related inequalities.
Mixed Fractional Integration Operators in Mixed Weighted Hölder Spaces
MSC 2010: 26A33We study mixed Riemann-Liouville integrals of functions of two variables in Hölder spaces of different orders in each variables. We consider Hölder spaces defined both by first order differences in each variable and also by the mixed second order difference, the main interest being in the evaluation of the latter for the mixed fractional integral in both the cases where the density of the integral belongs to the Hölder class defined by usual or mixed differences. The obtained results...
Mixed means for centered and uncentered averaging operators over spheres and related results.
Modified dyadic derivatives and integrals of fractional order on .
Modified logarithmic Sobolev inequalities in null curvature.
Modified log-Sobolev inequalities for convex functions on the real line. Sufficient conditions
We provide a mild sufficient condition for a probability measure on the real line to satisfy a modified log-Sobolev inequality for convex functions, interpolating between the classical log-Sobolev inequality and a Bobkov-Ledoux type inequality. As a consequence we obtain dimension-free two-level concentration results for convex functions of independent random variables with sufficiently regular tail decay. We also provide a link between modified log-Sobolev inequalities...
Modular inequalities for the Hardy averaging operator
If is the Hardy averaging operator - or some of its generalizations, then weighted modular inequalities of the form u (Pf) Cv (f) are established for a general class of functions . Modular inequalities for the two- and higher dimensional Hardy averaging operator are also given.