A new discrete Hilbert-type inequality involving partial sums

Abstract In this paper, we derive a new discrete Hilbert-type inequality involving partial sums. Moreover, we show that the constant on the right-hand side of this inequality is the best possible. As an application, we consider some particular settings.

Bibliographic Details
Main Authors: Vandanjav Adiyasuren, Tserendorj Batbold, Laith Emil Azar
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2087-6
Description
Summary:Abstract In this paper, we derive a new discrete Hilbert-type inequality involving partial sums. Moreover, we show that the constant on the right-hand side of this inequality is the best possible. As an application, we consider some particular settings.
ISSN:1029-242X