| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2024-0166 |
| Hermite-Hadamard inequalities of Conformable Fractional Integrals for strongly $h$-convex Functions |
| Jianmiao Ruan,Shengze XIA,Yi XING,Jianan WAN,Jiaying Lu |
| Keywords:Hermite-Hadamard type inequalities conformable fractional integral strongly $h$-convex functions strongly convex functions |
| Abstract: |
| In this paper, the Hermite-Hadamard type inequalities of left and right conformable fractional integrals via strongly $h$-convex functions are established. Furthermore, by studying some elegant properties of Beta type functions, we obtain some identities related to the two class fractional integrals with $m$-times differentiable functions, and then gain midpoint type and trapezoid type error estimates connected with the Hermite-Hadamard type inequalities, which generalize some known results. |
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