A New Hilbert-Type Integral Inequality with Parameters

被引:0
作者
Xue Mei GAO
机构
关键词
Hilbert-type integral inequality; hyperbolic cosecant function; Bernoulli number; weight function; best constant;
D O I
暂无
中图分类号
O178 [不等式及其他];
学科分类号
0701 ; 070101 ;
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 possible.And then some important and especial results are enumerated.As applications,some equivalent forms are given.
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收藏
页码:467 / 473
页数:7
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