Generalized Convex Functions on Fractal Sets and Two Related Inequalities

We introduce the generalized convex function on fractal sets Rα  (0<α≤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, s...

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Bibliographic Details
Main Authors: Huixia Mo, Xin Sui, Dongyan Yu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/636751
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