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Abstract
In this paper, we first introduce the concept of generalized relative semi--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--preinvexity. It is pointed out that some new and known special cases can be deduced from main results of the article.
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