Mireya BracamonteJosé Ariel GiménezJesús Medina2026-03-222026-03-22201810.15446/recolma.v52n2.77157https://doi.org/10.15446/recolma.v52n2.77157https://andeanlibrary.org/handle/123456789/50588Citaciones: 6We introduce the notion of reciprocally strongly convex functions and we present some examples and properties of them. We also prove that two real functions f and g, defined on a real interval [a, b], satisfy for all x, y ∈ [a, b] and t ∈ [0, 1] iff there exists a reciprocally strongly convex function h : [a, b] → R such that f (x) ≤ h(x) ≤ g(x) for all x ∈ [a, b]. Finally, we obtain an approximate convexity result for reciprocally strongly convex functions; namely we prove a stability result of Hyers-Ulam type for this class of functions.enConvexityConvex functionMathematicsRegular polygonClass (philosophy)Function (biology)Pure mathematicsLogarithmically convex functionInterval (graph theory)Combinatoricsarticle