Parameterized Hilbert-Type Integral Inequalities in the Whole Plane

Authors:
Open Access
Publisher website
Google Scholar
Abstract
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.
Funding Information
  • National Natural Science Foundation of China (61370186, 2013KJCX0140, JK2012049)
  • Guangdong Institution of Higher Learning College and University (61370186, 2013KJCX0140, JK2012049)
  • Foundation of Scientific Research Project of Fujian Province Education Department of China (61370186, 2013KJCX0140, JK2012049)

This publication has 8 references indexed in Scilit: