A NEW HARDY-HILBERT-TYPE INTEGRAL INEQUALITY INVOLVING AN EXPONENTIAL-POWER KERNEL FUNCTION
Abstract
This article investigates a new Hardy-Hilbert-type integral inequality involving a kernel function combining exponential decay and a singular power term. The main novelty lies in this feature, as well as in the fact that the resulting constant factor is expressed explicitly in terms of the gamma function. Furthermore, we demonstrate the versatility of the proposed inequality by deriving two additional integral inequalities. The proofs are presented in detail and can be followed step by step.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Approximation Theory and Sequence Spaces
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Advances in Mathematics Scientific Journal
- Volume
- 15
- Issue
- 1
- Pages
- 77–87
- Publication date
- 14 January 2026