Integral Inequality of Hardy-Type on Time Scales

On Hardy-hilbert’s Integral Inequality

In the present paper, by introducing some parameters, new forms of Hardy-Hilbert’s inequalities are given.

A Reverse Hardy-hilbert-type Integral Inequality

By estimating a weight function, a reverse Hardy-Hilbert-type integral inequality with a best constant factor is obtained. As an application, some equivalent forms and some particular results have been established.

Young’s Integral Inequality on Time Scales Revisited

A more complete Young’s integral inequality on arbitrary time scales (unbounded above) is presented.

Hardy–Leindler Type Inequalities on Time Scales

In this paper, we will prove some new dynamic inequalities on a time scale T. These inequalities, as special cases, when T= R contain some integral inequalities and when T= N contain the discrete inequalities due to Leindler. The main results will be proved by using the Hölder inequality and a simple consequence of Keller’s chain rule on time scales. From our results, as applications, we will d...

Hardy Type Inequalities on Time Scales