On integral inequalities with applications to the logarithmic mean
This short note aims to introduce and derive a sequence of integral inequalities based on the well-established Radon inequality. In particular, it includes a generalization of the Chebyshev and Dunkel integral inequalities. As a special case, these inequalities readily yield the well-known Arithmetic-Logarithmic-Geometric Mean Inequality.
Authors
- Bikash Chakraborty (ORCID: https://orcid.org/0000-0002-3951-4792)
- Lazhar Bougoffa (ORCID: https://orcid.org/0000-0003-0189-9436)
Institutions
- Imam Mohammad ibn Saud Islamic University (SA)
- Ramakrishna Mission Vivekananda Educational and Research Institute (IN)
Publication Details
- Journal
- Elemente der Mathematik
- Published
- 2025-04-30
- DOI
- https://doi.org/10.4171/em/557
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00