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.
Moduli of smoothness of functions and their derivatives
Relations between moduli of smoothness of the derivatives of a function and those of the function itself are investigated. The results are for and for 0 < p < ∞ using the moduli of smoothness and respectively.
Moment measures of heavy-tailed renewal point processes: asymptotics and applications
We study higher-order moment measures of heavy-tailed renewal models, including a renewal point process with heavy-tailed inter-renewal distribution and its continuous analog, the occupation measure of a heavy-tailed Lévy subordinator. Our results reveal that the asymptotic structure of such moment measures are given by explicit power-law density functions. The same power-law densities appear naturally as cumulant measures of certain Poisson and Gaussian stochastic integrals. This correspondence...
Moment preserving spline approximation finite intervals and Chakalov-Popoviciu quadratures.
Moments inequalities of a random variable defined over a finite interval.
Moments of Convex and Monotone Functions.
Mond-Weir duality in vector programming with generalized invex functions on differentiable manifolds.
Monosplines and inequalities for the remainder term of quadrature formulas.
Monotone and convex -algebra valued functions.
Monotone approximation of measurable multifunctions by simple multifunctions
We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.
Monotone trajectories of dynamical systems and Clarke's generalized Jacobian.
Monotone Valuations on the Space of Convex Functions
We consider the space Cn of convex functions u defined in Rn with values in R ∪ {∞}, which are lower semi-continuous and such that lim|x| } ∞ u(x) = ∞. We study the valuations defined on Cn which are invariant under the composition with rigid motions, monotone and verify a certain type of continuity. We prove integral representations formulas for such valuations which are, in addition, simple or homogeneous.