Work

A three-parameter logarithmic generalization of the Hilbert integral inequality

Year: 2025

Type: article

Abstract: In this paper, we establish a new generalized form of the Hilbert integral inequality involving threeadjustable parameters and a logarithmic term. We prove that the resulting constant factor is sharp and best possible. Furthermore, we derive related forms of Hilbert-type integral inequalities, including those based on sharp lower bounds of the logarithmic function.

Source: Journal of Mathematical Analysis and Modeling

DOI: 10.48185/jmam.v6i1.1283

Author: Christophe Chesneau

Institution: Université de Caen Normandie

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411335146

FWCI: 5.771

Cites:

Cited by: 3

Related to: 10