A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel. (3rd June 2014)

• Record Type: Journal Article
• Authors: Liu, Qiong; Sun, Wenbing
• Other Names: Wu Shanhe Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2014(2014)
• Publication Date: 2014-06-03
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2014/674874
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We first introduce Γ -function and Riemann ζ -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.