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Bounds of Riemann-Liouville Fractional Integrals in General Form via Convex Functions and Their Applications

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COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan
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Division of Science and Technology, University of Education, Lahore 54000, Pakistan
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Department of Mathematics, University of Okara, Okara 56300, Pakistan
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GBPS Sherani, Hazro Attock 43440, Pakistan
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Department of Mathematics and RINS, Gyeongsang National University, Jinju 52828, Korea
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Center for General Education, China Medical University, Taiwan, Taichung 40402, Taiwan
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Authors to whom correspondence should be addressed.
Mathematics 2018, 6(11), 248; https://doi.org/10.3390/math6110248
Received: 15 September 2018 / Revised: 6 November 2018 / Accepted: 7 November 2018 / Published: 12 November 2018
In this article, we establish bounds of sum of the left and right sided Riemann Liouville (RL) fractional integrals and related inequalities in general form. A new and novel approach is followed to obtain these results for general Riemann Liouville (RL) fractional integrals. Monotonicity and convexity of functions are used with some usual and straight forward inequalities. The presented results are also have connection with some known and already published results. Applications and motivations of presented results are briefly discussed. View Full-Text
Keywords: convex functions; fractional integrals; bounds convex functions; fractional integrals; bounds
MDPI and ACS Style

Farid, G.; Nazeer, W.; Saleem, M.S.; Mehmood, S.; Kang, S.M. Bounds of Riemann-Liouville Fractional Integrals in General Form via Convex Functions and Their Applications. Mathematics 2018, 6, 248.

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