Monotonic refinements of a Ky Fan inequality.
Monotonic solutions of functional integral and differential equations of fractional order.
Monotonicity and concavity properties of some functions involving the gamma function with applications.
Monotonicity and convexity for the gamma function.
Monotonicity and convexity of four sequences originating from Nanson's inequality.
Monotonicity, continuity and levels of Darboux functions
Monotonicity in Banach function spaces
This paper is an informal presentation of material from [28]–[34]. The monotone envelopes of a function, including the level function, are introduced and their properties are studied. Applications to norm inequalities are given. The down space of a Banach function space is defined and connections are made between monotone envelopes and the norms of the down space and its dual. The connection is shown to be particularly close in the case of universally rearrangement invariant spaces. Next, two equivalent...
Monotonicity of certain functionals under rearrangement
We show here that a wide class of integral inequalities concerning functions on can be obtained by purely combinatorial methods. More precisely, we obtain modulus of continuity or other high order norm estimates for functions satisfying conditions of the type where and are monotone increasing functions of .Several applications are also derived. In particular these methods are shown to yield a new condition for path continuity of general stochastic processes
Monotonicity of generalized weighted mean values
The author gives a new simple proof of monotonicity of the generalized extended mean values introduced by F. Qi.
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 or less" first-return recoverable functions.
More than first-order developments of convex functions: primal-dual relations.