Some Further Refinements of Hermite-Hadamard Type Inequalities for Harmonically Convex and P-Convex Functions via Fractional Integrals
Iranian Journal of Mathematical Sciences and Informatics, vol.21, no.1, pp.197-216, 2026 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 21 Issue: 1
- Publication Date: 2026
- Doi Number: 10.61882/ijmsi.21.1.197
- Journal Name: Iranian Journal of Mathematical Sciences and Informatics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.197-216
- Keywords: Fractional integral, Harmonically convex function, Hermite-Hadamard inequality, PConvex function, Refinement
- Karadeniz Technical University Affiliated: No
Abstract
It is well known that Hermite-Hadamard inequality generates an estimate of the mean value of the convex function over a bounded interval, in this work we investigate some Hermite-Hadamard type integral inequalities for p-convex functions and harmonically convex functions in fractional integral forms. Precisely, we provide extensions better than those existing in earlier works.