Monotonicity of ratios involving incomplete gamma functions with actuarial applications.
Monotonicity properties of the relative error of a Padé approximation for Mills' ratio.
Monotonicity results for the Gamma function.
Monotonous stability for neutral fixed points.
Monte Carlo Random Walk Simulations Based on Distributed Order Differential Equations with Applications to Cell Biology
Mathematics Subject Classification: 65C05, 60G50, 39A10, 92C37In this paper the multi-dimensional Monte-Carlo random walk simulation models governed by distributed fractional order differential equations (DODEs) and multi-term fractional order differential equations are constructed. The construction is based on the discretization leading to a generalized difference scheme (containing a finite number of terms in the time step and infinite number of terms in the space step) of the Cauchy problem for...
Montgomery identities for fractional integrals and related fractional inequalities.
More about Hermite-Hadamard inequalities, Cauchy's means, and superquadracity.
More on inequalities of Simpson type.
More on the Continuity of Real Functions
In this article we demonstrate basic properties of the continuous functions from R to Rn which correspond to state space equations in control engineering.
More than first-order developments of convex functions: primal-dual relations.
Morse-Sard theorem for delta-convex curves
Let be a delta-convex mapping, where is an open interval and a Banach space. Let be the set of critical points of . We prove that has zero -dimensional Hausdorff measure.
Morse-Sard theorem for real-analytic functions
Moser's Inequality for a class of integral operators
Let 1 < p < ∞, q = p/(p-1) and for define , x > 0. Moser’s Inequality states that there is a constant such that where is the unit ball of . Moreover, the value a = 1 is sharp. We observe that f where the integral operator has a simple kernel K. We consider the question of for what kernels K(t,x), 0 ≤ t, x < ∞, this result can be extended, and proceed to discuss this when K is non-negative and homogeneous of degree -1. A sufficient condition on K is found for the analogue...
Moser-Trudinger and logarithmic HLS inequalities for systems
We prove several optimal Moser–Trudinger and logarithmic Hardy–Littlewood–Sobolev inequalities for systems in two dimensions. These include inequalities on the sphere , on a bounded domain and on all of . In some cases we also address the question of existence of minimizers.
Mulitply Periodic Real Functions and Their Period Sets.
Multidimensional extension of L. C. Young's inequality.
Multidimensional Hilbert-type inequalities with a homogeneous kernel.
Multidimensional integral inequalities with homogeneous weights.
Multidimensional Opial inequalities for functions vanishing at an interior point
In this paper we generalize Opial inequalities in the multidimensional case over balls. The inequalities carry weights and are proved to be sharp. The functions under consideration vanish at the center of the ball.
Multifunctions of two variables: examples and counterexamples
A brief account of the connections between Carathéodory multifunctions, Scorza-Dragoni multifunctions, product-measurable multifunctions, and superpositionally measurable multifunctions of two variables is given.