32 citations · 142 across the 6 of their papers we have counts for
6 papers
Integral representations of the weighted geometric mean and the logarithmic mean
Feng Qi, Xiao-Jing Zhang, Wen-Hui Li
In the paper, the authors show that the weighted geometric mean and the logarithmic mean are Bernstein functions and establish integral representations of these means by Cauchy's i…
The geometric mean is a Bernstein function
Feng Qi, Xiao-Jing Zhang, Wen-Hui Li
In the paper, the authors establish, by using Cauchy integral formula in the theory of complex functions, an integral representation for the geometric mean of positive numbers.…
A new proof of the geometric-arithmetic mean inequality by Cauchy's integral formula
Feng Qi, Xiao-Jing Zhang, Wen-Hui Li
Let for be a given sequence of positive numbers. In the paper, the authors establish, by using Cauchy's integral formula in the theory of co…
Some Bernstein functions and integral representations concerning harmonic and geometric means
Feng Qi, Xiao-Jing Zhang, Wen-Hui Li
It is general knowledge that the harmonic mean and that the geometric mean , where and are two positive numbers. In the…
An integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind
Feng Qi, Xiao-Jing Zhang
In the paper, the authors discover an integral representation, some inequalities, and complete monotonicity of Bernoulli numbers of the second kind.
Properties of three functions relating to the exponential function and the existence of partitions of unity
Feng Qi
In the paper, the author studies properties of three functions relating to the exponential function and the existence of partitions of unity, including accurate and explicit comput…