Generalized Convex Functions on Fractal Sets and Two Related Inequalities

By Huixia Mo, Xin Sui, Dongyan Yu. 2014

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We introduce the generalized convex function on fractal sets 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.

Subfields: Applied Mathematics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/69fbc4ad9cb499bb9761260b955a2c509cb49d5f