Zhao, DafangAli, Muhammad AamirKashuri, ArtionBudak, HuseyinSarikaya, Mehmet Zeki2021-12-012021-12-0120201029-242Xhttps://doi.org/10.1186/s13660-020-02488-5https://hdl.handle.net/20.500.12684/10900In this paper, we present a new definition of interval-valued convex functions depending on the given function which is called interval-valued approximatelyh-convex functions. We establish some inequalities of Hermite-Hadamard type for a newly defined class of functions by using generalized fractional integrals. Our new inequalities are the extensions of previously obtained results like (D.F. Zhao et al. in J. Inequal. Appl. 2018(1):302,2018and H. Budak et al. in Proc. Am. Math. Soc.,2019). We also discussed some special cases from our main results.en10.1186/s13660-020-02488-5info:eu-repo/semantics/openAccessHermite-Hadamard-type inequalitiesInterval-valued functionsFractional integralsCalculusArticle202012-s2.0-85091255066WOS:000570709500001Q2Q1