| Citation: |
Shengze Xia, Yi Xing, Jianan Wan, Jiaying Lu, Jianmiao Ruan. HERMITE-HADAMARD INEQUALITIES OF CONFORMABLE FRACTIONAL INTEGRALS FOR STRONGLY H-CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3610-3638. doi: 10.11948/20240166
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HERMITE-HADAMARD INEQUALITIES OF CONFORMABLE FRACTIONAL INTEGRALS FOR STRONGLY H-CONVEX FUNCTIONS
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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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References
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Shengze Xia, Yi Xing, Jianan Wan, Jiaying Lu, Jianmiao Ruan. HERMITE-HADAMARD INEQUALITIES OF CONFORMABLE FRACTIONAL INTEGRALS FOR STRONGLY H-CONVEX FUNCTIONS[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3610-3638. doi: 10.11948/20240166
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