Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function
Date
2021
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Abstract
In this paper, we at first develop a generalized integral identity by associating Riemann-Liouville (RL) fractional integral of a function concerning another function. By using this identity estimates for various convexities are accomplish which are fractional integral inequalities. From our results, we obtained bounds of known fractional results which are discussed in detail. As applications of the derived results, we obtain the mid-point-type inequalities. These outcomes might be helpful in the investigation of the uniqueness of partial differential equations and fractional boundary value problems. © 2021 the Author(s), licensee AIMS Press.
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Keywords
Convex Function, Generalized Fractional Integral, Hermite-Hadamard-Fejer Inequalities, Mid-Point Inequality, Riemann-Liouville
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Citation
Baleanu, Dumitru...et al. (2021). "Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function", AIMS Mathematics, Vol. 6, No. 5, pp. 4280-4295.
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Source
AIMS Mathematics
Volume
6
Issue
5
Start Page
4280
End Page
4295