Some Convex Functions Based Measures of Independence and Their Application to Strange Attractor Reconstruction

Inequalities of Ando's Type for $n$-convex Functions

By utilizing different scalar equalities obtained via Hermite's interpolating polynomial, we will obtain lower and upper bounds for the difference in Ando's inequality and in the Edmundson-Lah-Ribariv c inequality for solidarities that hold for a class of $n$-convex functions. As an application, main results are applied to some operator means and relative operator entropy.

Computing geometric Lorenz attractors with arbitrary precision

The Lorenz attractor was introduced in 1963 by E. N. Lorenz as one of the first examples of strange attractors. However Lorenz’ research was mainly based on (non-rigourous) numerical simulations and, until recently, the proof of the existence of the Lorenz attractor remained elusive. To address that problem some authors introduced geometric Lorenz models and proved that geometric Lorenz models ...

An Optimization Model for Financial Resource Allocation Towards Seismic Risk Reduction

This paper presents a study on determining the degree of effectiveness of earthquake risk mitigation measures and how to prioritize such efforts in developing countries. In this paper a model is proposed for optimizing funds allocation towards risk reduction measures (building retrofitting) and reconstruction process after potential earthquakes in a regional level. The proposed model seeks opti...

On the dual of certain locally convex function spaces

In this paper, we first introduce some function spaces, with certain locally convex topologies, closely  related to the space of real-valued continuous functions on $X$,  where $X$ is a $C$-distinguished topological space. Then, we show that their dual spaces can be identified in a natural way with certain spaces of Radon measures.

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points