Hermite‐Hadamard inequalities for Riemann‐Liouville fractional integrals of a convex function with respect to a monotone function
By Pshtiwan Othman Mohammed. Mathematical methods in the applied sciences, 2019
63 citations recorded by the source corpus.
In this article, we have established new Hermite–Hadamard's type inequalities for Riemann–Liouville fractional integrals of convex functions with respect to increasing functions. Our obtained inequalities generalize some recent obtained inequalities in the literature involving classical integrals and Riemann–Liouville fractional integrals. Finally, applications of our work are demonstrated via the known special functions of real numbers.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/82d120e47db1e84c8fa1017ea3b81db992fe9ca7
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In Applied Mathematics
- Artion Kashuri
- Thabet Abdeljawad
- Pshtiwan Othman Mohammed
- Dumitru Băleanu
- Mehmet Yavuz
- Fahd Jarad
- Guo-cheng Wu
- Emrah Ünal
Citations in the corpus
- New Modified Conformable Fractional Integral Inequalities of Hermite–Hadamard Type with Applications (2020, methodology): “The inequality of HH type (12) has been extended and applied in all models of fractional calculus, such as Riemann–Liouville [25–29], ψ-Riemann–Liouville [30], conformable fractional [31, 32], generalized fractional [33–35], time-scale fractional [36, 37], tempered fractional [38], and Atangana-Bale”