# Generalization of Inequalities of Hardy-Hilbert type

@article{Brneti2004GeneralizationOI, title={Generalization of Inequalities of Hardy-Hilbert type}, author={Ilko Brneti{\'c} and Josip E. Pe{\vc}ari{\'c}}, journal={Mathematical Inequalities \& Applications}, year={2004}, pages={217-225} }

A generalizations of the well-known Hilbert’s and Hardy-Hilbert’s inequality are given both in discrete and integral case. Mathematics subject classification (2000): 26D15.

## 16 Citations

### GENERALIZATION OF HILBERT AND HARDY-HILBERT INTEGRAL INEQUALITIES

- Mathematics
- 2005

The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We establish general form of multiple Hilbert-type inequality and we also…

### On a Generalization of Hilbert-Type Integral Inequality

- Mathematics
- 2008

By introducing some parameters, we establish generalizations of the Hilbert-type inequality. As applications, the reverse and its equivalent form are considered.

### A Generalization of Hardy-Hilbert’s Inequality for Non-homogeneous Kernel

- Mathematics
- 2011

This paper deals with a generalization of Hardy-Hilbert’s inequality for non-homogeneous kernel by considering sequences (sn), (tn), the functions φp, φq and parameter λ. This inequality generalizes…

### Multiple Hilbert and Hardy-Hilbert inequalities with non-conjugate parameters

- Mathematics
- 2005

The main objective of this paper is a study of some new generalisations of Hilbert and Hardy-Hilbert type inequalities involving non-conjugate parameters. We prove general forms of multiple…

### Generalized Hardy–Hilbert Type Inequalities on Multiple Weighted Orlicz Spaces

- Mathematics
- 2014

In this paper, we introduce the multiple weighted Orlicz spaces. We also give a multiple generalized Hardy-Hilbert type integral inequality with the general kernel on these new spaces. It includes…

### A New Extension of Hilbert's Inequality for Multi-Functions with Best Constants Factors

- Mathematics
- 2009

The aim of this paper is to establish a new extension of Hilbert's inequality and Hardy-Hilbert's inequality for multi-functions with best constants factors. Also, we present some applications for…

### A NEW IMPROVED FORM OF THE HILBERT INEQUALITY AND ITS APPLICATIONS

- Mathematics
- 2020

In this paper, it shows a new improved form of the Hilbert inequality by introducing a proper weight function Ω(λ ,x) with a parameter λ(λ > 2 ) . As applications, a new refinement of Widder’s…

### AN EXTENSION ON THE HARDY-HILBERT INTEGRAL INEQUALITY AND ITS APPLICATIONS

- Mathematics
- 2007

In this article, it is shown that some new extensions on the Hardy-Hilbert inequality related to exponent function can be established by introducing a parameter λ (1 − q 1) and two exponent functions…

### The Hilbert-Type Integral Inequalities with a Homogeneous Kernel of -Degree

- Mathematics
- 2008

By introducing an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous kernel…

## References

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- Mathematics
- 2004

A generalization of the well-known Hilbert’s inequality is given and several other results of this type obtained in the recent years follow as a special case from our result. Mathematics subject…

### SOME INTEGRAL INEQUALITIES RELATED TO HILBERT'S

- Mathematics
- 2003

We prove some integral inequalities involving the Laplace transform. These are sharper than some known generalizations of the Hilbert integral inequality including a recent result of Yang.

### Inequalities Involving Functions and Their Integrals and Derivatives

- Mathematics
- 1991

I. Landau-Kolmogorov and related inequalities.- II. An inequality ascribed to Wirtinger and related results.- III. Opial's inequality.- IV. Hardy's, Carleman's and related inequalities.- V. Hilbert's…