Journal of Shanghai University(Natural Science Edition) ›› 2014, Vol. 20 ›› Issue (3): 368-373.doi: 10.3969/j.issn.1007-2861.2013.07.051

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Some Integral Inequalities Involving AH Convex Functions and Their Applications

HE Xiao-hong1, XU Qian2   

  1. 1. Quzhou Radio and TV University, Quzhou 324000, Zhejiang, China; 2. Jiaxing Radio and TV University, Jiaxing 314000, Zhejiang, China
  • Received:2013-09-13 Online:2014-06-26 Published:2014-06-26

Abstract: This paper establishes Hermite-Hadamard type inequalities involving AH convex functions using analytical methods. As applications of the integral inequalities to Gamma function, a Kershaw-type of Gamma function is proved, which strengthens some previous results.

Key words: Gamma function, Kershaw-type inequality, Psi function, integral inequality

CLC Number: