Generalized convex functions on fractal sets and two related inequalities
Summary: We introduce the generalized convex function on fractal sets \(R^\alpha (0 < \alpha \leq 1)\) of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen's inequality and generalized Hermite-Hadamard's inequality. Furthermore, some applications are given.
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