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Mathematics
Volume 8
Issue 4
10.3390/math8040500
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Article

Tempered Fractional Integral Inequalities for Convex Functions

by
Gauhar Rahman
1,
Kottakkaran Sooppy Nisar
2,* and
Thabet Abdeljawad
3,4,5,*
1
Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, Pakistan
2
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
3
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, KSA, Saudi Arabia
4
Department of Medical Research, China Medical University, Taichung 40402, Taiwan
5
Department of Computer Science and Information Engineering, Asia University, Taichung 40402, Taiwan
*
Authors to whom correspondence should be addressed.
Mathematics 2020, 8(4), 500; https://doi.org/10.3390/math8040500
Submission received: 20 February 2020 / Revised: 28 March 2020 / Accepted: 30 March 2020 / Published: 2 April 2020
(This article belongs to the Section C1: Difference and Differential Equations)
Versions Notes

Abstract

Certain new inequalities for convex functions by utilizing the tempered fractional integral are established in this paper. We also established some new results by employing the connections between the tempered fractional integral with the (R-L) fractional integral. Several special cases of the main result are also presented. The obtained results are more in a general form as it reduced certain existing results of Dahmani (2012) and Liu et al. (2009) by employing some particular values of the parameters.
Keywords: fractional integrals; tempered fractional integral; inequalities fractional integrals; tempered fractional integral; inequalities

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MDPI and ACS Style

Rahman, G.; Nisar, K.S.; Abdeljawad, T. Tempered Fractional Integral Inequalities for Convex Functions. Mathematics 2020, 8, 500. https://doi.org/10.3390/math8040500

AMA Style

Rahman G, Nisar KS, Abdeljawad T. Tempered Fractional Integral Inequalities for Convex Functions. Mathematics. 2020; 8(4):500. https://doi.org/10.3390/math8040500

Chicago/Turabian Style

Rahman, Gauhar, Kottakkaran Sooppy Nisar, and Thabet Abdeljawad. 2020. "Tempered Fractional Integral Inequalities for Convex Functions" Mathematics 8, no. 4: 500. https://doi.org/10.3390/math8040500

APA Style

Rahman, G., Nisar, K. S., & Abdeljawad, T. (2020). Tempered Fractional Integral Inequalities for Convex Functions. Mathematics, 8(4), 500. https://doi.org/10.3390/math8040500

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