TY - JOUR

T1 - Hermite-Hadamard-Fej-r type inequalities for s-convex functions in the second sense via Riemann-Liouville fractional integral

AU - Hakiki, M. T.

AU - Wibowo, A.

PY - 2020/1/29

Y1 - 2020/1/29

N2 - The convex function is one of the topics in mathematics that is closely related to the theory of inequality. Furthermore, the definition of convex function has an extension, which is the first and second kind of s-convex function, for fixed s ∈ (0,1. Convex function has a relation to the Hermite-Hadamard-Fej-r inequality, which is an integral inequality involving a convex function. Further development of these inequalities involves the s-convex function and through the concept of fractional integral. In this study, we discuss the Hermite-Hadamard-Fej-r type inequality that applies to the second kind of s-convex function via the Riemann-Liouville fractional integral. From these results, the relationship between these inequalities with the same type of inequality for convex function, are obtained.

AB - The convex function is one of the topics in mathematics that is closely related to the theory of inequality. Furthermore, the definition of convex function has an extension, which is the first and second kind of s-convex function, for fixed s ∈ (0,1. Convex function has a relation to the Hermite-Hadamard-Fej-r inequality, which is an integral inequality involving a convex function. Further development of these inequalities involves the s-convex function and through the concept of fractional integral. In this study, we discuss the Hermite-Hadamard-Fej-r type inequality that applies to the second kind of s-convex function via the Riemann-Liouville fractional integral. From these results, the relationship between these inequalities with the same type of inequality for convex function, are obtained.

UR - http://www.scopus.com/inward/record.url?scp=85079684842&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1442/1/012039

DO - 10.1088/1742-6596/1442/1/012039

M3 - Conference article

AN - SCOPUS:85079684842

VL - 1442

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012039

T2 - Basic and Applied Sciences Interdisciplinary Conference 2017, BASIC 2017

Y2 - 18 August 2017 through 19 August 2017

ER -