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

By Tingsong Du, Muhammad Uzair Awan, Artion Kashuri, Shasha Zhao. Applicable Analysis, 2019

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/97ef51d1deddd43ff4034c7db85dce40db27d78c