关于(h,m)-凸函数乘积的Hadamard-型不等式及应用 |
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作者姓名: | 孙文兵 |
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作者单位: | 邵阳学院理学院, 湖南 邵阳 422000 |
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基金项目: | Supported by National Natural Science Foundation of China (61672356) and Natural Science Foundation of Hunan Province(12JJ3008) |
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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.
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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 |
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Authors: | SUN Wenbing |
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Institution: | School of Science, Shaoyang University, Shaoyang 422000, Hunan, China |
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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. |
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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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