Abstract
The Hadamard inequality is a graphical interpretation of convex functions in the coordinate plane. We give its different variants for (R-L) fractional integrals of strongly exponentially (α, h − m)- convex functions. These inequalities are generalizations and refinements of Hadamard inequalities for Riemann-Liouville fractional integrals of exponentially; convex, m-convex, (α,m)-convex, (h − m)-convex, (s,m)-convex functions in combined forms. The error bounds of established inequalities are also obtained. Special cases of main results are mentioned, which have been already published by different authors.
Recommended Citation
Farid, Ghulam and Bibi, Sidra
(2022).
(R1895) On Refinements and Generalizations of Hadamard Inequalities for Riemann-Liouville (R-L) Integrals,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 19,
Iss.
2, Article 4.
Available at:
https://digitalcommons.pvamu.edu/aam/vol19/iss2/4