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Inequalities Pertaining Fractional Approach through Exponentially Convex Functions

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Department of Mathematics, Government College University, Faisalabad, Punjab 38000, Pakistan
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Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
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Author to whom correspondence should be addressed.
Fractal Fract 2019, 3(3), 37; https://doi.org/10.3390/fractalfract3030037
Received: 8 May 2019 / Revised: 14 June 2019 / Accepted: 26 June 2019 / Published: 27 June 2019
In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities. These results have some relationships with the Hermite-Hadamard-type inequalities and related inequalities via Riemann-Liouville fractional integrals. View Full-Text
Keywords: convex function; exponentially-convex functions; Riemann-Liouville fractional integrals; Hermite-Hadamard inequality; power-mean inequality convex function; exponentially-convex functions; Riemann-Liouville fractional integrals; Hermite-Hadamard inequality; power-mean inequality
MDPI and ACS Style

Rashid, S.; Noor, M.A.; Noor, K.I. Inequalities Pertaining Fractional Approach through Exponentially Convex Functions. Fractal Fract 2019, 3, 37.

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