Advancements in Hermite–Hadamard inequalities via conformable fractional integrals for subadditive functions
This study advances Hermite–Hadamard inequalities for subadditive functions using conformable fractional integrals. It establishes and explores numerous versions of these inequalities, as well as fractional integral inequalities for the product of two subadditive functions via conformable fractional integrals. The findings indicate that these inequalities improve and extend prior results for convex and subadditive functions, significantly enhancing the theoretical framework of fractional calculus and inequality theory. Moreover, computational analysis is conducted on these inequalities for subadditive functions, and mathematical examples are given to validate the newly established results within the framework of conformable fractional calculus.
Authors
- Hüseyin Budak (ORCID: https://orcid.org/0000-0001-8843-955X)
- Fatih Hezenci (ORCID: https://orcid.org/0000-0003-1008-5856)
- Wali Haider (ORCID: https://orcid.org/0009-0001-7065-2755)
- Asia Shehzadi (ORCID: https://orcid.org/0009-0005-1101-5536)
- Haibo Chen (ORCID: https://orcid.org/0000-0002-9868-7079)
Institutions
- Central South University (CN)
- Kocaeli Üniversitesi (TR)
- Düzce Üniversitesi (TR)
- Saveetha University (IN)
Publication Details
- Journal
- International Journal of Geometric Methods in Modern Physics
- Published
- 2025-01-09
- DOI
- https://doi.org/10.1142/s0219887825500999
- Citations
- 1
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 3.73