STRONGLY n-FRACTIONAL POLYNOMIAL CONVEX FUNCTIONS AND RELATED INEQUALITIES
In this paper, we introduce the idea and notion of strongly n–fractional polynomial convex functions. We investigate some algebraic properties of the newly defined class of functions. We establish certain inequalities of Hermite–Hadamard type for our novel generalization. We have also compared our newly obtained results using both Hölder and Hölder-İşcan inequalities, as well as power-mean and improved-power-mean integral inequalities. The results obtained in this work extend and improve the orresponding ones in the literature
Authors
- İmdat Işcan (ORCID: https://orcid.org/0000-0001-6749-0591)
- Serap Özcan (ORCID: https://orcid.org/0000-0001-6496-5088)
Institutions
- Giresun University (TR)
- University of Arts (AL)
Publication Details
- Journal
- Journal of Science and Arts
- Published
- 2025-09-30
- DOI
- https://doi.org/10.46939/j.sci.arts-25.3-a13
- Primary Topic
- Mathematical Inequalities and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00