A Hilbert-type integral inequality with its best extension
DOI:
https://doi.org/10.14419/gjma.v3i3.4885Keywords:
Weight Function, Hilbert-Type Integral Inequality, Best Extension, ReverseAbstract
By using the way of weight function and the technique of real analysis, a new  Hilbert-type integral inequality with a  kernel as \(min\{x^{\lambda_1},y^{\lambda_2}\}\) and its equivalent form are established. As application, the constant factor on the plane are the best value and its best extension form with some parameters and the reverse forms are also considered.
References
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Received date: June 4, 2015
Accepted date: June 29, 2015
Published date: July 4, 2015