Hermite–Hadamard-Type Inequalities for Convex Functions via the Fractional Integrals with Exponential Kernel

Xia Wu, JinRong Wang and Jialu Zhang
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Xia Wu: School of Mathematics and Finance, Xiangnan University, Chenzhou 411105, China
JinRong Wang: Department of Mathematics, Guizhou University, Guiyang 550025, China
Jialu Zhang: School of Mathematics and Finance, Xiangnan University, Chenzhou 411105, China

Mathematics, 2019, vol. 7, issue 9, 1-12

Abstract: In this paper, we establish three fundamental integral identities by the first- and second-order derivatives for a given function via the fractional integrals with exponential kernel. With the help of these new fractional integral identities, we introduce a few interesting Hermite–Hadamard-type inequalities involving left-sided and right-sided fractional integrals with exponential kernels for convex functions. Finally, some applications to special means of real number are presented.

Keywords: convex functions; Hermite–Hadamard-type inequalities; fractional integrals; exponential kernel (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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