Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications

Saima Rashid, Thabet Abdeljawad, Fahd Jarad and Muhammad Aslam Noor
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Saima Rashid: Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
Thabet Abdeljawad: Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
Fahd Jarad: Department of Mathematics, Çankaya University, Etimesgut, 06790 Ankara, Turkey
Muhammad Aslam Noor: Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan

Mathematics, 2019, vol. 7, issue 9, 1-18

Abstract: In the present paper, we investigate some Hermite-Hadamard ( HH ) inequalities related to generalized Riemann-Liouville fractional integral ( GRLFI ) via exponentially convex functions. We also show the fundamental identity for GRLFI having the first order derivative of a given exponentially convex function. Monotonicity and exponentially convexity of functions are used with some traditional and forthright inequalities. In the application part, we give examples and new inequalities for the special means.

Keywords: convex function; exponentially convex function; fractional integrals; generalized Riemann-liouville fractional integrals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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