Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions
By Yousaf Khurshid, M. Adil Khan, Y. Chu, Zareen A. Khan. Journal of Function Spaces, 2019
73 citations recorded by the source corpus.
In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex functions; then by using this identity and preinvexity of functions and some well-known inequalities, we find several new Hermite-Hadamard type inequalities for conformal fractional integrals.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/ac7c2b3f97f7d1ca6b2ed855d5bfbc8b284521b6
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In Applied Mathematics
- Y. Chu
- Saima Rashid
- Muhammad Aslam Noor
- M. Adil Khan
- Khalida Inayat Noor
- Miao-Kun Wang
- Yousaf Khurshid
- Zhonghua Shen
In Modeling and Simulation
- Y. Chu
- Saima Rashid
- Muhammad Aslam Noor
- M. Adil Khan
- Khalida Inayat Noor
- Yousaf Khurshid
- Miao-Kun Wang
- Syed Tauseef Mohyud-Din
Citations in the corpus
- Ostrowski type inequalities in the sense of generalized $\mathcal{K}$-fractional integral operator for exponentially convex functions (2020, background): “We refer the interesting readers to the works by [30, 37, 52, 55].”
- Conformable fractional integral inequalities for GG- and GA-convex functions (2020, background): “5013 Recently, many generalizations, invariants and extensions have been made for the convexity, for example, harmonic-convexity [21,22], exponential-convexity [23,24], s-convexity [25,26], Schur-convexity [27–29], strong convexity [30–33], Hp,q-convexity [34–38], generalized convexity [39], GG- and”
- 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.”