上海大学学报(自然科学版) ›› 2014, Vol. 20 ›› Issue (3): 368-373.doi: 10.3969/j.issn.1007-2861.2013.07.051

• 数理化科学 • 上一篇    下一篇

AH 凸函数的几个积分不等式及其应用

何晓红1, 许谦2   

  1. 1. 衢州广播电视大学, 浙江衢州324000; 2. 嘉兴广播电视大学, 浙江嘉兴314000)
  • 收稿日期:2013-09-13 出版日期:2014-06-26 发布日期:2014-06-26
  • 通讯作者: 何晓红(1968—), 女, 讲师, 研究方向为分析不等式. E-mail:mcqmm2006@163.com

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

摘要: 运用分析方法, 给出了AH凸函数的Hermite-Hadamard型不等式, 并把这个积分不等式应用到Gamma函数理论上, 得到了新的Kershaw型不等式. 最后, 还提出了两个公开问题.

关键词: Gamma函数, Kershaw型不等式, Psi函数, 积分不等式

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

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