A More Accurate Half-Discrete Hilbert-Type Inequality Involving One upper Limit Function and One Partial Sum

A More Accurate Half-Discrete Hilbert-Type Inequality Involving One upper Limit Function and One Partial Sum

In this paper, by virtue of the symmetry principle, we construct proper weight coefficients and use them to establish a more accurate half-discrete Hilbert-type inequality involving one upper limit function and one partial sum. Then, we prove the new inequality with the help of the Euler–Maclaurin s...

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Bibliographic Details
Main Authors: Xianyong Huang, Shanhe Wu, Bicheng Yang
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Symmetry
Subjects:
weight coefficient
Euler–Maclaurin summation formula
Abel’s partial summation formula
half-discrete Hilbert-type inequality
upper limit function
Online Access:https://www.mdpi.com/2073-8994/13/8/1548

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