A general logarithmic-Hardy-Hilbert integral inequality
Abstract
Abstract This article presents a modified version of the Hardy-Hilbert integral inequality. It takes the form of a generalized logarithmic-Hardy-Hilbert inequality with four adjustable parameters. These parameters allow for a wide range of special cases. Several known results are recovered and new ones are derived. We present inequalities with explicit, tractable upper bounds. These involve weighted integral norms with power-weight functions. Full proofs are included to make the article self-contained.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Approximation Theory and Sequence Spaces
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Mathematica Slovaca
- Volume
- 76
- Issue
- 1
- Pages
- 111–124
- Publication date
- 28 January 2026
- Language
- EN