On several arctangent- and logarithmic-Hardy-Hilbert integral inequalities
Abstract
In this paper, we establish several new arctangent- and logarithmic-Hardy-Hilbert integral inequalities. The approach combines fundamental principles with refined techniques from the theory of integral inequalities, leading to a range of original results. Complete proofs are presented together with a discussion of their sharpness and potential applications.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Advanced Harmonic Analysis Research
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Open Journal of Mathematical Sciences
- Volume
- 10
- Pages
- 17–28
- Publication date
- 19 January 2026