On a new extended half-discrete Hilbert’s inequality involving partial sums

On a new extended half-discrete Hilbert’s inequality involving partial sums

Abstract By applying the weight functions, the idea of introducing parameters, and Euler–Maclaurin summation formula, a new extended half-discrete Hilbert’s inequality with the homogeneous kernel and the beta, gamma function is given. The equivalent statements of the best possible constant factor re...

Full description

Bibliographic Details
Main Authors: Xing Shou Huang, Ricai Luo, Bicheng Yang
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of Inequalities and Applications
Subjects:
Weight function
Half-discrete Hilbert’s inequality
Parameter
Euler–Maclaurin summation formula
Gamma function
Beta function
Online Access:https://doi.org/10.1186/s13660-020-2293-2

Internet

https://doi.org/10.1186/s13660-020-2293-2

Similar Items