Resumen de Riemann-Liouville fractional trapezium-like inequalities via generalized (m, h₁, h₂)-preinvexity.

Piao Guo, Zhengzheng Huang, Tingsong Du

• In this paper, we derive a fractional integral identity concerning three times differentiable generalized preinvex mappings defined on minvex set. By using of this identity, we obtain new estimates on generalization of trapezium-like inequalities for functions whose third order derivatives are generalized (m, h₁, h₂)-preinvex via Riemann-Liouville fractional integrals. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.