HA—凸函数及其Jsensen不等式 |
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引用本文: | 宋振云.HA—凸函数及其Jsensen不等式[J].德州学院学报,2014(4):16-21. |
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作者姓名: | 宋振云 |
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作者单位: | 湖北职业技术学院机电工程学院,湖北孝感432000 |
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基金项目: | 湖北省教育科学“十二五”规划项目(2013A054) |
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摘 要: | 针对凸性及其广义凸性问题,提出了HA—凸函数的概念,给出了HA—凸函数的判定定理及其运算性质,建立了HA—凸函数的Jensen型不等式,列举了HA—凸函数的应用实例.
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关 键 词: | HA—凸函数 判定定理 运算性质 Jensen型不等式 应用 |
HA-convex Function and Jensen-type Inequality |
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Institution: | SONG Zhen--yun (School of Mechanical and Electronical Engineering, H ubei Polytechnic Institute, Xiaogan Hubei 432000,China) |
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Abstract: | As to the issue of convexity and wide convexity, this paper function, gives the corresponding judgment theorem and operational type inequality of the HA--convex function,and gives its application provides the concept of HA--convex properties, and creates the Jensen- example. |
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Keywords: | HA--convex function judgment theorem operational properties Jensen-- type inequality application |
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