Parameterized Hilbert-Type Integral Inequalities in the Whole Plane

By the use of the way of real analysis, we estimate the weight functions and give some new Hilbert-type integral inequalities in the whole plane with nonhomogeneous kernels and multiparameters. The constant factors related to the hypergeometric function and the beta function are proved to be the bes...

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Bibliographic Details
Main Authors: Qiliang Huang, Shanhe Wu, Bicheng Yang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/169061