A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel

作者:Liu, Qiong; Sun, Wenbing*
来源:Abstract and Applied Analysis, 2014, 2014: 674874.
DOI:10.1155/2014/674874

摘要

We first introduce Gamma-function and Riemann zeta-function to characterize the constant factor jointly. A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real analysis. The equivalent form is considered and its constant factors are proved to be the best possible. Some meaningful results are obtained by taking the special parameter values.