吉林大学学报(理学版)Issue(5):869-872,4.DOI:10.13413/j.cnki.jdxblxb.2014.05.02
一个联系Riemann Zeta函数的Hilbert型积分不等式
A Hilbert-Type Integral Inequality Related to the Riemann Zeta Function
摘要
Abstract
Introducing independent parameters,applying the techniques of real analysis and the way of weight functions,the authors presented a new Hilbert-type integral inequality with the kernel of cosecant function and a best constant factor related to the Riemann zeta function and deduced the equivalent form and some homogeneous forms for a particular parameter.关键词
权函数/Riemann zeta函数/Hilbert型积分不等式/等价式Key words
weight coefficient/Riemann zeta function/Hilbert-type integral inequality/equivalent form分类
数理科学引用本文复制引用
杨必成,陈强..一个联系Riemann Zeta函数的Hilbert型积分不等式[J].吉林大学学报(理学版),2014,(5):869-872,4.基金项目
国家自然科学基金(批准号:61370186) (批准号:61370186)