Generalized Convex Functions on Fractal Sets and Two Related Inequalities

Huixia Mo, Xin Sui and Dongyan Yu

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:636751

DOI: 10.1155/2014/636751

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