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Open AccessArticle

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

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Department of Mathematics, COMSATS University Islamabad, Islamabad 45550, Pakistan
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Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
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Department of Mathematics, Çankaya University, Etimesgut, 06790 Ankara, Turkey
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Author to whom correspondence should be addressed.
Mathematics 2019, 7(9), 807; https://doi.org/10.3390/math7090807
Received: 29 July 2019 / Revised: 19 August 2019 / Accepted: 20 August 2019 / Published: 2 September 2019
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. View Full-Text
Keywords: convex function; exponentially convex function; fractional integrals; generalized Riemann-liouville fractional integrals convex function; exponentially convex function; fractional integrals; generalized Riemann-liouville fractional integrals
MDPI and ACS Style

Rashid, S.; Abdeljawad, T.; Jarad, F.; Noor, M.A. Some Estimates for Generalized Riemann-Liouville Fractional Integrals of Exponentially Convex Functions and Their Applications. Mathematics 2019, 7, 807.

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