Sarıkaya, Mehmet Zeki2020-04-302020-04-3020132193-5343https://dx.doi.org/10.1007/s40065-013-0069-yhttps://hdl.handle.net/20.500.12684/497In this paper, we introduce the notion of strongly $${\varphi_{h}}$$ -convex functions with respect to c > 0 and present some properties and representation of such functions. We obtain a characterization of inner product spaces involving the notion of strongly $${\varphi_{h}}$$ -convex functions. Finally, a version of Hermite–Hadamard-type inequalities for strongly $${\varphi_{h}}$$ -convex functions is established. [Figure not available: see fulltext.] © 2013, The Author(s).en10.1007/s40065-013-0069-yinfo:eu-repo/semantics/openAccessArticle23295302N/A