Generalized Convex Functions and Some Inequalities on Fractal Sets

Published 15 Apr 2014 in math.CA | (1404.3964v2)

Abstract: In the paper, 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 inequality and generalized Hermite-Hadamard inequality. Furthermore,some applications are given.

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