Wang, HuaKalsoom, HumairaBudak, HuseyinIdrees, Muhammad2021-12-012021-12-0120212314-46292314-4785https://doi.org/10.1155/2021/5577340https://hdl.handle.net/20.500.12684/10841In this article, we introduce a new extension of classical convexity which is called generalized exponentially (s, m; eta)-preinvex functions. Also, it is seen that the new definition of generalized exponentially (s, m; eta)-preinvex functions describes different new classes as special cases. To prove our main results, we derive a new (m kappa 2)q-integral identity for the twice (m kappa 2)q-differentiable function. By using this identity, we show essential new results for Hermite-Hadamard-type inequalities for the (m kappa 2)q-integral by utilizing differentiable exponentially (s, m; eta)-preinvex functions. The results presented in this article are unification and generalization of the comparable results in the literature.en10.1155/2021/5577340info:eu-repo/semantics/openAccessIntegral-InequalitiesCoordinated Convex(PArticle20212-s2.0-85105383406WOS:000664968400002Q3Q1