You, XuexiaoAli, Muhammad AamirBudak, HuseyinReunsumrit, JirapornSitthiwirattham, Thanin2021-12-012021-12-0120212227-7390https://doi.org/10.3390/math9202556https://hdl.handle.net/20.500.12684/10916In this paper, we prove Hermite-Hadamard-Mercer inequalities, which is a new version of the Hermite-Hadamard inequalities for harmonically convex functions. We also prove Hermite-Hadamard-Mercer-type inequalities for functions whose first derivatives in absolute value are harmonically convex. Finally, we discuss how special means can be used to address newly discovered inequalities.</p>en10.3390/math9202556info:eu-repo/semantics/openAccessHermite-Hadamard-Mercer inequalityJensen inequalityharmonically convex functionArticle9202-s2.0-85117443024WOS:000714521300001Q2Q1