On Riemann–Liouville Integral via Strongly Modified (h,m)-Convex Functions
The generalization of strongly convex and strongly m-convex functions is presented in this paper. We began by proving the properties of a strongly modified (h,m)-convex function. The Schur inequality and the Hermite–Hadamard (H-H) inequalities are proved for the proposed class. Moreover, H-H inequalities are also proved in the context of Riemann–Liouville (R-L) integrals. Some examples and graphs are also presented in order to show the existence of this newly defined class.
Authors
- Ali N. A. Koam (ORCID: https://orcid.org/0000-0002-5047-9908)
- Ammara Nosheen (ORCID: https://orcid.org/0000-0002-1627-4503)
- Maryam Salem Alatawi (ORCID: https://orcid.org/0000-0002-5567-7444)
- Khuram Ali Khan (ORCID: https://orcid.org/0000-0002-3468-2295)
- Ali Ahmad (ORCID: https://orcid.org/0000-0003-3434-9908)
- Mudassir Hussain Bukhari (ORCID: https://orcid.org/0009-0001-9357-9060)
Institutions
- University of Sargodha (PK)
- University of Tabuk (SA)
- Jazan University (SA)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2024-11-21
- DOI
- https://doi.org/10.3390/fractalfract8120680
- Citations
- 3
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 2.93
Funders
- Jazan University