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大连海洋大学学报  2003, Vol. 18 Issue (1): 75-78    DOI: 10.3969/j.issn.1000-9957.2003.01.018
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关于平均值的几个定理
汪德洪,朱海燕
大连水产学院基础部 大连职业技术学院
On some theorem of the average value
WANG De-hong1,ZHU Hai-yan2
1.Faculty of General Studies, Dalian Fisheries Univ., Dalian 116023, China; 2. Dalian Vocational and Technical College, Dalian 116035, China
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摘要 作者首先引入了几个正数的x次幂的平均值定义,进而得到在x变化过程中几个正数的x次幂的平均值的两个结果.另外,作者从关于函数平均值的引理入手,叙述了关于函数平均值的一系列性质,这些性质均以不等式的形式出现.
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汪德洪
朱海燕
关键词:    平均值  不等式    
Abstract: The definition of average value of x power of positive numbers is introduced. And then two results were got of average value of xpower of positive numbers when x changes. In addition, a series of characteristics that appear in form of inequality are explained of average value of function.
Key words:  power    average value    inequality
                    发布日期:  2016-12-30      期的出版日期:  2003-02-21
中图分类号:  O172  
引用本文:    
汪德洪, 朱海燕. 关于平均值的几个定理[J]. 大连海洋大学学报, 2003, 18(1): 75-78.
WANG De-hong, ZHU Hai-yan. On some theorem of the average value. Journal of Dalian Ocean University, 2003, 18(1): 75-78.
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https://xuebao.dlou.edu.cn/CN/10.3969/j.issn.1000-9957.2003.01.018  或          https://xuebao.dlou.edu.cn/CN/Y2003/V18/I1/75
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