Hermite–Hadamard-type inequalities for Riemann–Liouville fractional integrals via two kinds of convexity
By Jinrong Wang, Xuezhu Li, Michal Fe[cbreve]kan, Yong Zhou. 2013
162 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/bcbf7857cbb4c7376e31b97b4fd997b1179ac3a3
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In Applied Mathematics
- Khalida Inayat Noor
- M. Kunt
- Muhammad Aslam Noor
- Muhammad Uzair Awan
- Amar Debbouche
- Mengmeng Li
- Imdat Iscan
- Jinrong Wang
In Modeling and Simulation
- Amar Debbouche
- Khalida Inayat Noor
- Mengmeng Li
- Muhammad Aslam Noor
- Imdat Iscan
- Jinrong Wang
- Syed Tauseef Mohyud-Din
- Yong Zhou
Citations in the corpus
- Generalization of different type integral inequalities for s-convex functions via fractional integrals (2013, unknown): “For recent results and generalizations concerning (α,m)-convex functions see [3, 4, 7, 8, 14].”
- Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals (2017, background): “Recently, more and more Hermite–Hadamard inequalities involving fractional integrals have been obtained for different classes of functions; see Dahmani (2010), İşcan (2014a, b, 2015), İşcan and Wu (2014), İşcan et al. (2016d), Sarıkaya et al. (2013) and Wang et al. (2012, 2013).”
- Some new inequalities of Hermite-Hadamard type for s-convex functions with applications (2017, unknown): “More results and applications for the fractional derivatives and integrals can be found in the literature [54-66].”
- Hermite-Hadamard type inequalities for p-convex functions via fractional integrals (2017, background): “Recently, more and more Hermite-Hadamard inequalities involving fractional integrals have been obtained for different classes of functions; see [1, 5, 11, 16].”
- Relative controllability in fractional differential equations with pure delay (2018, background): “0 E A(x1−τ−t) τ,α BBE A(x1−τ−t) τ,α dt, (8) where the symbol ⊤ denotes the transpose of the matrix.”
- Generalized Convexity and Integral Inequalities (2015, background): “This double inequality is known as classical Hermite-Hadamard inequality.”