A Hilbert-Type Integral Inequality in the Whole Plane Related to the Hypergeometric Function and the Beta Function
Rassias, Michael Th. · Yang, Bicheng
Original · EN
A new Hilbert-type integral inequality in the whole plane with the non-homogeneous kernel and parameters is given. The constant factor related to the hypergeometric function and the beta function is proved to be the best possible. As applications, equivalent forms, the reverses, some particular examples, two kinds of Hardy-type inequalities, and operator expressions are considered.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.