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2014 Generalized Convex Functions on Fractal Sets and Two Related Inequalities
Huixia Mo, Xin Sui, Dongyan Yu
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/636751


We introduce the generalized convex function on fractal sets Rα (0<α1) 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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Huixia Mo. Xin Sui. Dongyan Yu. "Generalized Convex Functions on Fractal Sets and Two Related Inequalities." Abstr. Appl. Anal. 2014 1 - 7, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022795
MathSciNet: MR3226218
Digital Object Identifier: 10.1155/2014/636751

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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