Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (6): 1058-1066.

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New Simpson Type Inequalities for Generalized Convex Functions on Fractal Space and Its Applications

Wenbing Sun(),Qiong Liu   

  1. School of Science, Shaoyang University, Hunan Shaoyang 422000
  • Received:2017-10-31 Online:2018-12-26 Published:2018-12-27
  • Supported by:
    Supported by the NSFC(61672356);the Science and Technology Plan Project of Shaoyang City(2017GX09)

Abstract:

In the paper, the authors use local fractional calculus theory and the definition of generalized convex function on the α type set of the real line numbers \begin{document}$\mathbb{R}$\end{document}α, some new Simpson-type inequalities involving local fractional integrals are established. Finally, some applications of our obtained inequalities to special means and numerical integration are given.

Key words: Simpson-type inequalities, Generalized convex function, Local fractional derivative, Local fractional integral

CLC Number: 

  • O178
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