On lower and upper bounds of the difference between the arithmetic and the geometric mean
On lower and upper bounds of the difference between the arithmetic and the geometric mean
复制标题
关于算术平均数与几何平均数之差的下限和上限
DOI：
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发表时间：
1975
期刊：
影响因子：
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通讯作者：
S. Tung
中科院分区：
文献类型：
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作者：
S. Tung
n个量的算术平均值与几何平均值之差的上下界在此根据n以及给定的n个量中的最小值a和最大值A给出。此外，还根据a和A给出了一个与n无关的差值的上界。所得到的所有界限都是精确的。
Lower and upper bounds of the difference between the arithmetic and the geometric mean of n quantities are given here in terms of n, the smallest value a and the largest value A of given n quantities. Also, an upper bound for the difference, independent of n, is given in terms of a and A. All the bounds obtained are sharp.