Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

By M. Adil Khan, Y. Chu, Artion Kashuri, Rozana Liko, Gohar Ali. Journal of Function Spaces, 2018

95 citations recorded by the source corpus.

We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/522362d71ebf378d08f66fa0974660bf132bfd63

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In Applied Mathematics

1. Y. Chu
2. Miao-Kun Wang
3. Zhonghua Shen
4. Miao-Ying Hong
5. Yangfan Xu
6. Tie-hong Zhao
7. Wei-Mao Qian
8. Zhen-Hang Yang

In Modeling and Simulation

1. Miao-Kun Wang
2. Y. Chu

Citations in the corpus

• Inequalities for generalized trigonometric and hyperbolic functions with one parameter (2020, background): “…of mathematics [2, 3, 14, 17, 19, 20, 25, 30, 32, 35, 38, 41, 46, 50, 52, 61, 70, 74, 77, 81, 83, 85, 86, 87, 88], they are closely related to the bivariate means [15, 26, 54, 55, 56, 68, 73, 75, 78] and special functions [1, 7, 12, 13, 21, 22, 27, 28, 36, 51, 57, 58, 59, 60, 62, 65, 69, 72, 82].”