Strongly ( <i>g</i> , <i>h</i> ;α − <i>m</i> )-convex functions and the consequent Hermite–Hadamard-type inequalities
In this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes. Hermite–Hadamard-type inequalities are established for this new class of functions. Several particular cases are analysed. All the inequalities are established for Riemann–Liouville fractional integrals, and these are generalizations of ordinary integral inequalities.
Authors
- Josip Pečarić (ORCID: https://orcid.org/0000-0002-5510-2085)
- Jong‐Suk Ro
- Mawahib Elamin
- S. Abdel‐Khalek (ORCID: https://orcid.org/0000-0003-1822-2456)
- Yonghong Liu (ORCID: https://orcid.org/0000-0003-2307-5200)
- Ghulam Farid (ORCID: https://orcid.org/0000-0003-0693-8414)
Institutions
- Croatian Academy of Sciences and Arts (HR)
- Qassim University (SA)
- COMSATS University Islamabad (PK)
- Taif University (SA)
- Chengdu University (CN)
- Chung-Ang University (KR)
Publication Details
- Journal
- Applied Mathematics in Science and Engineering
- Published
- 2025-04-02
- DOI
- https://doi.org/10.1080/27690911.2025.2471386
- Citations
- 1
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.73
Funders
- National Research Foundation of Korea
- Taif University
- Korea Institute of Energy Technology Evaluation and Planning