New Ostrowski type conformable fractional inequalities concerning differentiable generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvex mappings

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali", Albania

2 Department of Mathematics, Faculty of Technical Science, University "Ismail Qemali", Albania

Abstract

In this article, we first presented a new integral identity concerning differentiable mappings defined on m-invex set. By using the notion of generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type conformable fractional integral inequalities are established. It is pointed out that some new special cases can be deduced from main results of the article.

Keywords