On a unified generalization of Cusa-Huygens and Mitrinovic-Adamovic inequalities
In this paper, we provide a unified generalization of Cusa-Huygens and Mitrinovic-Adamovic inequalities with the parameters (?, ?, ?), and give the conditions of (?, ?, ?) such that the inequality and its reverse hold on (0, ?/2). As applications, several one-parameter generalizations of Cusa-Huygens and Mitrinovic-Adamovic inequalities will be presented, one of which solves an open problem posed by C.-P Chen and C. Mortici.
Authors
- Tie‐Hong Zhao (ORCID: https://orcid.org/0000-0002-6394-1049)
Institutions
- Hangzhou Normal University (CN)
Publication Details
- Journal
- Applicable Analysis and Discrete Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.2298/aadm240914017z
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00