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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Detalles Bibliográficos
Autores principales: Huang, Qiliang, Wu, Shanhe, Yang, Bicheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4152985/
https://www.ncbi.nlm.nih.gov/pubmed/25215314
http://dx.doi.org/10.1155/2014/169061
Descripción
Sumario: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 best possible. We also consider the equivalent forms, the reverses, and some particular cases in the homogeneous kernels.

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