Improvement of Newman inequality

Let . Newman inequality is

     

Weighted estimates for a class of multilinear fractional type operators

In this paper, a class of multiple fractional type weights is defined as

     

On a max-type and a min-type difference equation

This note shows that every positive solution to the following third order non–autonomous max-type difference equation

when is a three-periodic sequence of positive numbers, is periodic with period three. The same result was proved for the following min-type difference equation

     

Hamiltonian flow over deformations of ordinary double points

We cannot see from

     

On multicolour noncomplete Ramsey graphs of star graphs

Given graphs , where k≥2, the notation