Tempered Fractional Integral Inequalities for Convex Functions

Gauhar Rahman, Kottakkaran Sooppy Nisar and Thabet Abdeljawad
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Gauhar Rahman: Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Upper Dir 18000, Pakistan
Kottakkaran Sooppy Nisar: Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia
Thabet Abdeljawad: Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, KSA, Saudi Arabia

Mathematics, 2020, vol. 8, issue 4, 1-12

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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