带反正切函数的半离散Hilbert型不等式的改进  

Improvement of a Half-Discrete Hilbert-Type Inequality Related to the Kernel of Arc Tangent Function

作　　者：聂彩云[1] NIE Caiyun(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2019年第1期7-9,17,共4页Journal of Jishou University(Natural Sciences Edition)

摘　　要：引入权系数和加强的Hlder's不等式,应用实分析方法,对一个较为精确的带有反正切函数的半离散Hardy-Hilbert型不等式作了改进,建立了一些新的不等式.By introducing weight function and strengthened Holder's inequality,a more accurate semi-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function is improved through real analysis.Some new inequalities are established.

关 键 词：半离散 HARDY-HILBERT型不等式 权系数 Holder's不等式 

分 类 号：O177[理学—数学]