Yaldız, HaticeAgarwal, P.2020-04-302020-04-3020170174-4747https://dx.doi.org/10.1515/anly-2017-0015https://hdl.handle.net/20.500.12684/606In the present work, we give the definition of an s-convex functions for a convex real-valued function f defined on the set of integers ?. We state and prove the discrete Hermite-Hadamard inequality for s-convex functions by using the basics of discrete calculus (i.e. the calculus on ?). Finally, we state and prove the discrete fractional Hermite-Hadamard inequality for s-convex functions by using the basics of discrete fractional calculus. © 2017 Walter de Gruyter GmbH, Berlin/Boston 2017.en10.1515/anly-2017-0015info:eu-repo/semantics/closedAccessDiscrete calculus; discrete fractional calculus; discrete Hermite-Hadamard type inequality; s-convex functionsArticle374179184N/A