Recent Progresses in Characterising Information Inequalities

Recent Progresses in Preparation and Characterization of RO Membranes

Reverse osmosis (RO) is a water purifcation technology that uses a semipermeable membrane to remove ions, molecules, and larger particles for the production of drinking water. The frst RO membrane for seawater desalination, wastewater treatment and other applications were made of cellulose acetate. But, the polyamide thin-flm composite membrane that can tolerate wide pH...

Towards Characterising Equality in Correlation Inequalities

On Hadamard and Fej'{e}r-Hadamard inequalities for Caputo $small{k}$-fractional derivatives

In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.

General Hardy-Type Inequalities with Non-conjugate Exponents

We derive whole series of new integral inequalities of the Hardy-type, with non-conjugate exponents. First, we prove and discuss two equivalent general inequa-li-ties of such type, as well as their corresponding reverse inequalities. General results are then applied to special Hardy-type kernel and power weights. Also, some estimates of weight functions and constant factors are obtained. ...

The Numerical Solution of Nonlinear Equations Having Several Parameters . Part Iii : Equations with Z 2 - Symmetry

The computation of symmetry-breaking bifurcation points of nonlinear multiparameter problems with Z2 (reflectional) symmetry is considered. The numerical approach is based on recent work in singularity theory, which is used to construct systems of equations and inequalities characterising various types of symmetry-breaking bifurcation points. Numerical continuation methods are then used to foll...