Chinese Quarterly Journal of Mathematics ›› 2018, Vol. 33 ›› Issue (3): 278-286.doi: 10.13371/j.cnki.chin.q.j.m.2018.03.006

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Generalizations of Hermite-Hadamard Type Inequalities Involving S-convex Functions

  

  1. College of Light Industry Science and Engineering, Shaanxi University of Science & Technology.  College of Electrical &Information Engineering, Shaanxi University of Science & Technology.
  • Accepted:2016-10-31 Online:2018-09-30 Published:2020-10-08
  • About author:LIAN Tie-yan(1978-), female, native of Weinan, Shaanxi, a lecturer of Shaanxi University of Science & Technology, M.S.D., engages in operator theory
  • Supported by:
    Supported by the key scientific and technological innovation team project in shaanxi province(2014KCT-15); the Foundations of Shaanxi Educational committee(NO.18Jk0152);

Abstract: Some new Hermite-Hadamard type’s integral equations and inequalities are established. The results in [3] and [6] which refined the upper bound of distance between the middle and left of the typical Hermite-Hadamard’s integral inequality are generalized. 

Key words: Hermite-Hadamard's integral inequality, s-convex function, H?older's integral inequality

CLC Number: