TY - JOUR T1 - Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions AU - Lian , Tieyan AU - Tang , Wei AU - Zhou , Rui JO - Communications in Mathematical Research VL - 4 SP - 351 EP - 362 PY - 2019 DA - 2019/12 SN - 34 DO - http://doi.org/10.13447/j.1674-5647.2018.04.08 UR - https://global-sci.org/intro/article_detail/cmr/13508.html KW - Hermite-Hadamard's integral inequality, Riemann-Liouville fractional integral, Hölder's integral inequality AB -
In this article, we extend some estimates of the right-hand side of the Hermite-Hadamard type inequality for preinvex functions with fractional integral. The notion of logarithmically s-Godunova-Levin-preinvex function in second sense is introduced and then a new Hermite-Hadamard inequality is derived for the class of logarithmically s-Godunova-Levin-preinvex function.