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Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

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Department of Mathematics, Govt. College University, Faisalabad 38000, Pakistan
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Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
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Department of Mathematics, Faculty of Science and Letters, Agri Ibrahim Çeçen University, Ağrı 04000, Turkey
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Author to whom correspondence should be addressed.
Fractal Fract 2019, 3(2), 24; https://doi.org/10.3390/fractalfract3020024
Received: 14 April 2019 / Revised: 25 April 2019 / Accepted: 26 April 2019 / Published: 28 April 2019
The main objective of this paper is to obtain the Hermite–Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral. The Katugampola fractional integral is a generalization of Riemann–Liouville fractional integral and Hadamard fractional integral. Some special cases and applications to special means are also discussed. View Full-Text
Keywords: convex function; exponentially convex function; Riemann–Liouville fractional integral; Hadamard fractional integral; Katugampola fractional integral convex function; exponentially convex function; Riemann–Liouville fractional integral; Hadamard fractional integral; Katugampola fractional integral
MDPI and ACS Style

Rashid, S.; Noor, M.A.; Noor, K.I.; Akdemir, A.O. Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators. Fractal Fract 2019, 3, 24.

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