Abstract
The main objective of this paper is to derive some new fractional analogs of trapezium-like inequalities essentially using the class of preinvex functions and the concepts of tempered fractional integrals. We discuss some special cases that show that our results are unifying. In order to demonstrate the significance of our results, we present some applications to means. To check the validity of our results, we also give some numerical examples.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference15 articles.
1. Hermite-Hadamard’s inequalities for fractional integrals and related fractional inequalities;Math. Comput. Modell.,2013
2. Certain integral inequalities considering generalized m–convexity on fractal sets and their applications;Fractals,2019
3. Hermite-Hadamard’s inequalities for preinvex function via fractional integrals and related fractional inequalities;Am. J. Math. Anal.,2013
4. Some new k-fractional integral inequalities containing multiple parameters via generalized (s,m)-preinvexity;Ital. J. Pure and Appl. Math.,2018
5. On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals;Miskolc Math. Notes,2016