Quantum Inequalities of Hermite–Hadamard Type for r-Convex Functions

Xuexiao You, Hasan Kara, Hüseyin Budak, Humaira Kalsoom and Ahmet Ocak Akdemir

Journal of Mathematics, 2021, vol. 2021, 1-14

Abstract: In this present study, we first establish Hermite–Hadamard type inequalities for r-convex functions via qκ2-definite integrals. Then, we prove some quantum inequalities of Hermite–Hadamard type for product of two r-convex functions. Finally, by using these established inequalities and the results given by (Brahim et al. 2015), we prove several quantum Hermite–Hadamard type inequalities for coordinated r-convex functions and for the product of two coordinated r-convex functions.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6634614

DOI: 10.1155/2021/6634614

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