Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
By M. Adil Khan, Yousaf Khurshid, Tingsong Du, Y. Chu. Journal of Function Spaces, 2018
79 citations recorded by the source corpus.
We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/ec52bc2b33e3537c499c1cf007d3bb19e9ad0c12
How researchers see this paper
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In Applied Mathematics
- Y. Chu
- Saima Rashid
- Khalida Inayat Noor
- Muhammad Aslam Noor
- Miao-Kun Wang
- Zhonghua Shen
- Miao-Ying Hong
- Yangfan Xu
In Modeling and Simulation
- Y. Chu
- Saima Rashid
- Muhammad Aslam Noor
- Khalida Inayat Noor
- Miao-Kun Wang
- Syed Tauseef Mohyud-Din
- Dumitru Băleanu
- M. Akbar
Citations in the corpus
- Inequalities for generalized trigonometric and hyperbolic functions with one parameter (2020, background): “Recently, many remarkable results [4, 5, 6, 16, 18, 23, 29, 33, 34, 39, 40, 42, 43, 45, 47, 53, 63, 64, 66, 67, 71, 76, 80, 89] in mathematics, physics, mechanics, game theory, control and optimization theory and so on have been established via these functions.”
- Ostrowski type inequalities in the sense of generalized $\mathcal{K}$-fractional integral operator for exponentially convex functions (2020, background): “There are numerous problems wherein fractional derivatives (non-integer order derivatives and integrals) attain a valuable position [4, 5, 8, 16, 24, 27, 31, 36, 41, 60, 62, 63, 70].”