Georgiev, S. G.Darvish, V.Razeghi, M.Kaymakcalan, B.2025-07-062025-07-0620251450-96282406-3045https://doi.org/10.46793/KgJMat2506.933Ghttps://hdl.handle.net/20.500.12416/10261In this paper, first we establish the Hermite-Hadamard type inequality based on diamond-alpha integral for a subset of strongly r-convex functions. Then we prove several new inequalities for n-times continuously differentiable strongly r-convex functions on time scales by virtue of some techniques and introducing new quantities.eninfo:eu-repo/semantics/openAccessTime ScalesStrongly R-Convex FunctionsHermite-Hadamard InequalityDelta Differentiable FunctionDiamond IntegralArticle10.46793/KgJMat2506.933G