Novel inequalities involving exponentially ( <i>α</i> , <i>m</i> )-convex function and fractional integrals
In this paper, an identity involving Riemann–Liouville fractional integrals is newly produced. Some new extensions of integral inequalities are proved with the help of Hölder, power-mean integral inequalities and newly established identity. Whereas, the absolute values of first derivatives of real valued functions, which are appeared in these inequalities, are exponentially ([Formula: see text]-convex. Some special cases are discussed and graphical evidences are presented for validity of proved results.
Authors
- Muhammad Amer Latif (ORCID: https://orcid.org/0000-0003-2349-3445)
- Ammara Nosheen (ORCID: https://orcid.org/0000-0002-1627-4503)
- Ndolane Sene (ORCID: https://orcid.org/0000-0002-8664-6464)
- Y. S. Hamed (ORCID: https://orcid.org/0000-0002-0365-0282)
- Khuram Ali Khan (ORCID: https://orcid.org/0000-0002-3468-2295)
- Hafiza Bisma Ammara
Institutions
- University of Sargodha (PK)
- Taif University (SA)
- Government Sadiq College Women University (PK)
- Cheikh Anta Diop University (SN)
Publication Details
- Journal
- Applied Mathematics in Science and Engineering
- Published
- 2024-11-04
- DOI
- https://doi.org/10.1080/27690911.2024.2422993
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00