Some k-fractional extensions of the trapezium inequalities through generalized relative semi-(m,h)-preinvexity

In this paper, we first introduce the concept of generalized relative semi-(m,h)-preinvex functions, and then a new k-Riemann–Liouville fractional integral identity for differentiable mapping is derived. With the help of this identity, we present some new bounds on trapezium inequalities via generalized relative semi-(m,h)-preinvexity. It is pointed out that some new and known special cases can be deduced from main results of the article.