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Best Generalization of a Hilbert Type Inequality
Hilbert's type integral inequality Weight coefficient Weight function Hö lder's inequality
2008/7/1
By introducing a parameter , we have given generalization of Hilbert's type integral inequality with a best possible constant factor. Also its equivalent form is considered, and the generalized formul...
On a New Strengthened Version of a Hardy-Hilbert Type Inequality and Applications
Hardy-Hilbert's inequality Weight coefficient Hö lder's inequality
2008/6/27
By improving an inequality of the weight coefficient, we give a new strengthened version of Hardy-Hilbert's type inequality. As its applications, we build some strengthened versions of the equivalent ...
On a Reverse of a Hardy-Hilbert Type Inequality
Hardy-Hilbert's inequality Weight coefficient Hö lder's inequality
2008/6/27
This paper deals with a reverse of the Hardy-Hilbert's type inequality with a best constant factor. The other reverse of the form is considered.