关于对数均值与第二塞弗特均值的凸组合的纽曼 - 桑多尔均值的最优界。
Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means.
作者信息
Chen Jing-Jing, Lei Jian-Jun, Long Bo-Yong
机构信息
School of Mathematical Science, Anhui University, Hefei, 230601 China.
出版信息
J Inequal Appl. 2017;2017(1):251. doi: 10.1186/s13660-017-1516-7. Epub 2017 Oct 10.
Abstract
In the article, we prove that the double inequality [Formula: see text] holds for [Formula: see text] with [Formula: see text] if and only if [Formula: see text] and [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text] denote the Neuman-Sándor, logarithmic and second Seiffert means of two positive numbers and , respectively.
摘要
在本文中，我们证明了双不等式[公式：见正文]对于满足[公式：见正文]且[公式：见正文]的[公式：见正文]成立，当且仅当[公式：见正文]且[公式：见正文]，其中[公式：见正文]、[公式：见正文]和[公式：见正文]分别表示两个正数[公式：见正文]和[公式：见正文]的诺伊曼 - 桑多尔均值、对数均值和第二类赛弗特均值。
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Optimal bounds for Neuman-Sándor mean in terms of the convex combination of the logarithmic and the second Seiffert means.关于对数均值与第二塞弗特均值的凸组合的纽曼 - 桑多尔均值的最优界。
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