Exploring new types of Hardy-Hilbert integral inequalities
Authors: Christophe Chesneau
Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990
Volume: 2026 · Pages: 1 - 22
Published Online: 1 Feb 2026
Abstract: This article explores two new types of Hardy-Hilbert integral inequalities constructed using flexible kernel functions. These functions are versatile due to the interplay of two or more parameters, as well as their asymmetric structural properties. Our proofs establish sharp and consistent upper bounds.
Keywords: Hardy-Hilbert integral inequality, Hölder integral inequality, beta function, gamma function