Some new approximations and inequalities of the sequence (1+1/n)(n) and improvements of Carleman's inequality
Some new approximations and inequalities of the sequence (1+1/n)(n) and improvements of Carleman's inequality
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数列 (1 1/n)(n) 的一些新的近似和不等式以及卡尔曼不等式的改进
DOI：
10.1007/s11139-015-9765-x
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发表时间：
2017
影响因子：
0.7
通讯作者：
Liu Zhen
中科院分区：
文献类型：
--
作者：
Lu Dawei;Song Lixin;Liu Zhen
本文利用多项式逼近和连分式逼近给出了数列的几个尖锐不等式及其对Carleman不等式的应用。为了证明我们的新不等式优于经典不等式，给出了一些证明和数值计算。
In this paper, using the polynomial approximation and the continued fraction approximation, we present some sharp inequalities for the sequenceand some applications to Carleman’s inequality. For demonstrating the superiority of our new inequalities over the classical one, some proofs and numerical computations are provided.