A half-discrete Hardy-Hilbert-type inequality related to hyperbolic secant function

作者：Yang, Bicheng^*; Chen, Qiang

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015, 2015(1): 405.

DOI：10.1186/s13660-015-0929-4

• Hardy-Hilbert-type inequality
• weight function
• equivalent form
• reverse
• operator

By applying weight functions and technique of real analysis, a half-discrete Hardy-Hilbert-type inequality related to the kernel of hyperbolic secant function and a best possible constant factor are given. The equivalent forms, the operator expressions with the norm, the reverses, and some particular cases are also considered.

• 出版日期2015-12-18
• 单位广东第二师范学院