A New Hilbert-Type Integral Inequality with Parameters

作     者：Xue Mei GAO Ming Zhe GAO 

作者机构：Department of Mathematics & Computer Science Normal College of Jishou University Hunan 416000 P. R. China. 

出 版 物：《Journal of Mathematical Research and Exposition》 (数学研究与评论（英文版）)

年 卷 期：2011年第31卷第3期

页      面：467-473页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the Project of Scientific Research Fund of Hunan Provincial Education Department (GrantNo.09C789) 

主　　题：Hilbert-type integral inequality hyperbolic cosecant function Bernoulli number weight function best constant. 

摘      要：In this paper it is shown that a new Hilbert-type integral inequality can be established by introducing two parameters m（m ∈ N） and λ（λ 0）.And the constant factor expressed by the Bernoulli number and π is proved to be the best *** then some important and especial results are *** applications,some equivalent forms are given.