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关于(h,m)-凸函数乘积的Hadamard-型不等式及应用
作者姓名:孙文兵
作者单位:邵阳学院理学院, 湖南 邵阳 422000
基金项目: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  
收稿时间:2016-12-30
修稿时间:2017-04-13

Hadamard-type inequalities for products of (h,m)-convex functions and their applications
Authors:SUN Wenbing
Institution:School of Science, Shaoyang University, Shaoyang 422000, Hunan, China
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.
Keywords:Hadamard's inequality                                                                                                                        convex functions                                                                                                                        h  (h" target="_blank">m)-convex functions')">(h  m)-convex functions                                                                                                                        product of two functions
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