Moments of Convex and Monotone Functions.
Monotone and convex -algebra valued functions.
Monotonic refinements of a Ky Fan inequality.
Monotonic solutions of functional integral and differential equations of fractional order.
Monotonicity and convexity for the gamma function.
Monotonicity, continuity and levels of Darboux functions
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 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 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.
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.
Mulitply Periodic Real Functions and Their Period Sets.
Multidimensional extension of L. C. Young's inequality.
Multiplicative concavity of the integral of multiplicatively concave functions.
Multiplicity and uniqueness for a class of discrete fractional boundary value problems
The paper deals with a class of discrete fractional boundary value problems. We construct the corresponding Green's function, analyse it in detail and establish several of its key properties. Then, by using the fixed point index theory, the existence of multiple positive solutions is obtained, and the uniqueness of the solution is proved by a new theorem on an ordered metric space established by M. Jleli, et al. (2012).
Multipliers for generalized Riemann integrals in the real line
We use an elementary method to prove that each function is a multiplier for the -integral.