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中国科学院大学学报 ›› 2018, Vol. 35 ›› Issue (2): 145-153.DOI: 10.7523/j.issn.2095-6134.2018.02.001

• 数学与物理学 •    下一篇

关于(h,m)-凸函数乘积的Hadamard-型不等式及应用

孙文兵   

  1. 邵阳学院理学院, 湖南 邵阳 422000
  • 收稿日期:2016-12-30 修回日期:2017-04-13 发布日期:2018-03-15
  • 通讯作者: 孙文兵
  • 基金资助:
    Supported by National Natural Science Foundation of China (61672356) and Natural Science Foundation of Hunan Province(12JJ3008)

Hadamard-type inequalities for products of (h, m)-convex functions and their applications

SUN Wenbing   

  1. School of Science, Shaoyang University, Shaoyang 422000, Hunan, China
  • Received:2016-12-30 Revised:2017-04-13 Published:2018-03-15
  • Supported by:
    Supported by National Natural Science Foundation of China (61672356) and Natural Science Foundation of Hunan Province(12JJ3008)

摘要: 建立一些关于(h,m)-凸函数乘积的新Hadamard-型不等式,得到的结果是对通常凸性、第2种意义下的s-凸性、m-凸性、h-凸性意义下的Hadamard-型不等式的推广.

关键词: Hadamard不等式, 凸函数, (h, m)-凸函数, 2个函数乘积

Abstract: In this paper, we established some new Hadamard-type inequalities for products of (h, m)-convex functions, which are the extended Hadamard-type inequalities for ordinary convexity sense, s-convexity in the second sense, m-convexity sense, and h-convexity sense.

Key words: Hadamard's inequality, convex functions, (h,m)-convex functions, product of two functions

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