Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (1): 34-41.doi: 10.13371/j.cnki.chin.q.j.m.2017.01.004

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The Generalization on Inequalities of Hermite-Hadamard's Integration

  

  1. College of Bioresources Chemical and Materials Engineering,Shaanxi University of Science and Technology. College of Electrical and Information Engineering,Shaanxi University of Science and Technology
  • Received:2015-09-24 Online:2017-03-30 Published:2020-10-26
  • About author:LIAN Tie-yan(1978-), female, native of Weinan, Shaanxi, a lecturer of Shaanxi University of Science and 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);

Abstract: Some new inequalities of Hermite-Hadamard’s integration are established. As for as inequalities about the righthand side of the classical Hermite-Hadamard’s integral inequality refined by S Qaisar in [3], a new upper bound is given. Under special conditions,the bound is smaller than that in [3]. 

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

CLC Number: