On New Extensions of Hilbert's Integral Inequality

Joint Authors

Mingzhe, Gao
Yu, Zhou
Leping, He

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2007-12-23

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

It is shown that some new extensions of Hilbert's integral inequality with parameter λ(λ>1/2) can be established by introducing a proper weight function.

In particular, when λ=1, a refinement of Hilbert's integral inequality is obtained.

As applications, some new extensions of Widder's inequality and Hardy-Littlewood's inequality are given.

American Psychological Association (APA)

Leping, He& Mingzhe, Gao& Yu, Zhou. 2007. On New Extensions of Hilbert's Integral Inequality. International Journal of Mathematics and Mathematical Sciences،Vol. 2008, no. 2008, pp.1-8.
https://search.emarefa.net/detail/BIM-987883

Modern Language Association (MLA)

Leping, He…[et al.]. On New Extensions of Hilbert's Integral Inequality. International Journal of Mathematics and Mathematical Sciences No. 2008 (2008), pp.1-8.
https://search.emarefa.net/detail/BIM-987883

American Medical Association (AMA)

Leping, He& Mingzhe, Gao& Yu, Zhou. On New Extensions of Hilbert's Integral Inequality. International Journal of Mathematics and Mathematical Sciences. 2007. Vol. 2008, no. 2008, pp.1-8.
https://search.emarefa.net/detail/BIM-987883

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-987883