# On a Relation to Hilbert's Integral Inequality and a Hilbert-Type Inequality

• Yang, Bicheng (Department of Mathematics, Guangdong Education Institute)
• Accepted : 2008.06.26
• Published : 2009.09.30
• 36 16

#### Abstract

In this paper, by introducing some parameters and using the way of weight function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert's integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.

#### Keywords

Hilbert's integral inequality;weight function;H-L-P inequality

#### References

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#### Cited by

1. A New Hilbert-type Inequality with the Integral in Whole Plane vol.52, pp.3, 2012, https://doi.org/10.5666/KMJ.2012.52.3.291