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New Estimates for Exponentially Convex Functions via Conformable Fractional Operator

1
Department of Mathematics, Govt. College University, Faisalabad 38000, Pakistan
2
Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
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Author to whom correspondence should be addressed.
Fractal Fract 2019, 3(2), 19; https://doi.org/10.3390/fractalfract3020019
Received: 28 March 2019 / Revised: 12 April 2019 / Accepted: 12 April 2019 / Published: 15 April 2019
In this paper, we derive a new Hermite–Hadamard inequality for exponentially convex functions via α-fractional integral. We also prove a new integral identity. Using this identity, we establish several Hermite–Hadamard type inequalities for exponentially convexity, which can be obtained from our results. Some special cases are also discussed. View Full-Text
Keywords: convex function; exponential convex function; Hermite–Hadamard inequality; α-fractional; integral inequalities convex function; exponential convex function; Hermite–Hadamard inequality; α-fractional; integral inequalities
MDPI and ACS Style

Rashid, S.; Noor, M.A.; Noor, K.I. New Estimates for Exponentially Convex Functions via Conformable Fractional Operator. Fractal Fract 2019, 3, 19.

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