Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (04): 793-802.

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A Class of Inequalities of Hadamard with Local Fractional Integrals for Generalized s-Convex Functions on Fractal Sets and Their Applications#br#

QIU Ke’e1,2, CHEN Songliang1, DENG Xicai1, TAO Lei1, LIU Zhuo1,2   

  1. 1. School of Mathematics and Big Data Sciences, Guizhou Education University, Guiyang 550018,  China;2. Big Data Science and Intelligent Engineering Research Institute, Guizhou Education University, Guiyang 550018,  China
  • Received:2018-08-05 Online:2019-07-26 Published:2019-07-11
  • Contact: QIU Ke’e E-mail:qke456@sina.com

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Abstract: By using the analytical method of local fractional integrals, we gave a Hadamard type identity of generalized s-convex functions on fractal sets, and then obtained a class of Hadamard inequalities, some applications were given by combining numerical integration and several special means.

Key words: generalized s-convex function, local fractional integral, HermiteHadamard inequalities, fractal space

CLC Number: 

  • O178
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