On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals
Muhammad Sadaqat Talha,
Tasawar Abbas,
Zhixiong Li,
Amor Rebey,
Affaq Ahmed,
Sanaa Anjum
Affiliations
Muhammad Sadaqat Talha
Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Vehari 61100, Pakistan
Tasawar Abbas
Department of Mathematics, University of Wah, Wah Cantt, 47040, Pakistan
Zhixiong Li
Faculty of Mechanical Engineering, Opole University of Technology, Opole 45-758, Poland; Yonsei Frontier Lab, Yonse University, Seoul 03722, South Korea
Amor Rebey
Department of Business Administration, College of Business Administration, Majmaah University, Al-Majmaah 11952, Saudi Arabia; Corresponding author.
Affaq Ahmed
Department of Mathematics, Riphah International University, Faisalabad, Pakistan
Sanaa Anjum
Department of Mathematics, University of Wah, Wah Cantt, 47040, Pakistan
The main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals. Firstly, we established the Hermite-Hadamard type inequalities for E`-convex function via Katugampola fractional integrals operators. After that we obtain several new identities and give new results of Holder's inequality, Jensen's integral inequality, Young's inequality, and Power mean inequality for E`-convex function by using Katugampola fractional integral operators. We make connections of our results with various results recognized in the literature.
