Cakmak, MusaTunc, MevlutAcem, Aysegul2024-09-182024-09-1820211787-24051787-2413https://doi.org/10.18514/MMN.2021.2444https://hdl.handle.net/20.500.12483/10404In this paper, the authors established a new identity for differentiable functions, afterwards they obtained some new inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. Also they give some applications for special means for arbitrary positive numbers.eninfo:eu-repo/semantics/openAccessh-convex functions-convex functiontgs-convex functionsHadamard inequalityHolder inequalitySOME NEW INEQUALITIES FOR DIFFERENTIABLE h-CONVEX FUNCTIONS AND APPLICATIONSArticle22110712110.18514/MMN.2021.24442-s2.0-85108528839Q2WOS:000661139500009Q2