A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式)

引入Γ-函数等特殊函数,利用权函数方法和实分析技巧,建立一个核为双曲正割函数的Hilbert型积分不等式及其等价式,证明了它们的常数因子是最佳值,并通过取特殊的参数值,得到一些有意义的结果.

Bibliographic Details
Main Authors: LIUQiong(刘琼), LONGShun-chao(龙顺潮)
Format: Article
Language:zho
Published: Zhejiang University Press 2013-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2013.03.003