| 一组凹凸性不等式及其应用 |
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| 引用本文： | 赵添润,王东红,王岩青. 一组凹凸性不等式及其应用[J]. 大学数学, 2021, 37(1): 119-122. DOI: 10.3969/j.issn.1672-1454.2021.01.023 |
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| 作者姓名： | 赵添润 王东红 王岩青 |
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| 作者单位： | 南京航空航天大学 经济与管理学院,南京 211106;南京航空航天大学 理学院,南京 211106;中国人民解放军陆军工程大学 基础部,南京 210007 |
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| 基金项目： | 南京航空航天大学教育教学改革研究项目 |
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| 摘 要： | 基于函数凹凸性的定义和性质,推导了一组新的不等式,进而将其推广到n项形式,并给出了它们在求和式数列极限中的应用.
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| 关 键 词： | 函数凹凸性 不等式 夹逼准则 |
A Set of Concave and Convex Inequalities and Its Applications |
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| ZHAO Tian-run,WANG Dong-hong,WANG Yan-qing. A Set of Concave and Convex Inequalities and Its Applications[J]. College Mathematics, 2021, 37(1): 119-122. DOI: 10.3969/j.issn.1672-1454.2021.01.023 |
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| Authors: | ZHAO Tian-run WANG Dong-hong WANG Yan-qing |
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| Affiliation: | (School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106 ,China;School of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 211106 ,China;Department of General Education, Army Engineering University of PLA, Nanjing 210007 , China) |
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| Abstract: | Based on concavity and convexity of function,this paper deduces a set of inequalities,and illustrates the application of N-term extension form of these inequalities in the limit of sum sequence. |
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| Keywords: | concavity and convexity of function inequality the squeeze theorem |
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