38 citations · 191 across the 12 of their papers we have counts for
12 papers
An analytic generalization of the Catalan numbers and its integral representation
Wen-Hui Li, Jian Cao, Da-Wei Niu +2
In the paper, the authors analytically generalize the Catalan numbers in combinatorial number theory, establish an integral representation of the analytic generalization of the Cat…
Refinements of Young's integral inequality via fundamental inequalities and mean value theorems for derivatives
Feng Qi, Wen-Hui Li, Guo-Sheng Wu +1
In the paper, the authors review several refinements of Young's integral inequality via several mean value theorems, such as Lagrange's and Taylor's mean value theorems of Lagrange…
A ratio of many gamma functions and its properties with applications
Feng Qi, Wen-Hui Li, Shu-Bin Yu +2
In the paper, the authors establish an inequality involving exponential functions and sums, introduce a ratio of many gamma functions, discuss properties, including monotonicity, l…
A unified proof of inequalities and some new inequalities involving Neuman-Sándor mean
Wen-Hui Li, Feng Qi
In the paper, by finding linear relations of differences between some means, the authors supply a unified proof of some double inequalities for bounding Neuman-Sándor means in term…
Some integral inequalities of Hermite-Hadamard type for functions whose derivatives of -th order are -convex
Feng Qi, Muhammad Amer Latif, Wen-Hui Li +1
In the paper, the authors find some new integral inequalities of Hermite-Hadamard type for functions whose derivatives of the -th order are -convex and deduce some known…
Integral representations and properties of some functions involving the logarithmic function
Feng Qi, Wen-Hui Li
By using Cauchy integral formula in the theory of complex functions, the authors establish some integral representations for the principal branches of several complex functions inv…
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…
A logarithmically completely monotonic function involving the ratio of gamma functions
Feng Qi, Wen-Hui Li
In the paper, the authors concisely survey and review some functions involving the gamma function and its various ratios, simply state their logarithmically complete monotonicity a…
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…
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…