Generalization of Inequalities of Hardy-Hilbert type

On Generalization of Hardy-type Inequalities

This paper is devoted to some new generalization of Hardy-type integral inequalities and the reversed forms. The study is to determine conditions on which the generalized inequalities hold using some known hypothesis. Improvement of some inequalities are also presented.

On Generalization of Cebysev Type Inequalities

In this paper, we establish new Cebysev type integral inequalities involving functions whose derivatives belong to L_{p} spaces via certain integral identities.

Hardy-hilbert Type Inequalities with Fractional Kernel in R

The main objective of this paper is some new special Hilbert-type and HardyHilbert-type inequalities in (R) with k ≥ 2 non-conjugate parameters which are obtained by using the well known Selberg’s integral formula for fractional integrals in an appropriate form. In such a way we obtain extensions over the whole set of real numbers, of some earlier results, previously known from the literature, ...

A Hardy-Hilbert Type Inequality

Carleman type inequalities and Hardy type inequalities for monotone functions

This Ph.D. thesis deals with various generalizations of the inequalities by Carleman, Hardy and Pólya-Knopp. In Chapter 1 we give an introduction and overview of the area that serves as a frame for the rest of the thesis. In Chapter 2 we consider Carleman’s inequality, which may be regarded as a discrete version of Pólya-Knopp’s inequality and also as a natural limiting inequality of the discre...