Some integral inequalities of Hermite--Hadamard type for $(\beta,F)$-log-convex functions
In the paper, the authors introduce the notion of $(\beta,F)$-log-convex functions, give an example of the $(\beta,F)$-log-convex functions, and, by virtue of two known integral identities, establish several integral inequalities of the Hermite--Hadamard type for $(\beta,F)$-log-convex functions.
Authors
- Bo-Yan Xi (ORCID: https://orcid.org/0000-0003-4528-2331)
- Ximin Liu (ORCID: https://orcid.org/0000-0002-4827-7936)
- Jing-Yu Wang (ORCID: https://orcid.org/0000-0002-0368-7106)
- Feng Qi (ORCID: https://orcid.org/0000-0001-6239-2968)
Institutions
- Dalian University of Technology (CN)
- Hulunbuir University (CN)
- National University of Mongolia (MN)
Publication Details
- Journal
- Constructive Mathematical Analysis
- Published
- 2025-09-12
- DOI
- https://doi.org/10.33205/cma.1733628
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Natural Science Foundation of Inner Mongolia
- Division of Mathematical Sciences