On a New Reverse Hilbert's Type Inequality

Author(s):

G. Xi*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, by using the Euler-Maclaurin expansion for the Riemann-$zeta$ function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained.

Keywords:

Hilbert's type inequality , Weight coefficien , H{o}lder inequality , Riemann-$zeta$ function , Reverse

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:17 Issue: 2, Nov 2022
Pages:
87 to 95
https://www.magiran.com/p2489253