Inner Mongolia University for Nationalities

output

20092021

most citedTwo closed forms for the Bernoulli polynomials

77 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2013Show all

14 papers · 1 filter

math.CA2013★ 10 cited

Asymptotic formulas and inequalities for gamma function in terms of tri-gamma function

Cristinel Mortici, Feng Qi

In the paper, the authors establish some asymptotic formulas and double inequalities for the factorial $n!$ and the gamma function $Γ$ in terms of the tri-gamma function $ψ^{'}$ .

math.CA2013★ 32 cited

Some best approximation formulas and inequalities for Wallis ratio

Feng Qi, Cristinel Mortici

In the paper, the authors establish some best approximation formulas and inequalities for Wallis ratio. These formulas and inequalities improve an approximation formula and a doubl…

math.NT2013

Extended fermionic $p$ -adic integrals on $Z_{p}$

Feng Qi, Serkan Araci, Mehmet Acikgoz

In the paper, using the extended fermionic $p$ -adic integral on $Z_{p}$ , the authors find some applications of the umbral calculus. From these applications, the authors deri…

math.CA2013★ 47 cited

Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind

Bai-Ni Guo, Feng Qi

In the paper, the author elementarily unifies and generalizes eight identities involving the functions $\frac{\pm 1}{e ^{\pm t} - 1}$ and their derivatives. By one of these identities,…

math.CA2013★ 16 cited

Hermite-Hadamard type integral inequalities for functions whose first derivatives are of convexity

Feng Qi, Tian-Yu Zhang, Bo-Yan Xi

In the paper, the authors establish some new Hermite-Hadamard type inequalities for functions whose first derivatives are of convexity and apply these inequalities to construct ine…

math.CA2013★ 16 cited

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…

math.CA2013★ 21 cited

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…

math.CA2013★ 24 cited

The best bounds for Toader mean in terms of the centroidal and arithmetic means

Yun Hua, Feng Qi

In the paper, the authors discover the best constants $α_{1}$ , $α_{2}$ , $β_{1}$ , and $β_{2}$ for the double inequalities $$ α_{1}\bar{C}(a,b)+(1-α_{1}) A(a,b)< T(a,b) <β_{1} \bar{C…

math.CA2013★ 9 cited

Complete monotonicity of a difference between the exponential and trigamma functions

Feng Qi, Xiao-Jing Zhang

In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the c…

math.CO2013★ 36 cited

Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind

Feng Qi

In the paper, by establishing a new and explicit formula for computing the $n$ -th derivative of the reciprocal of the logarithmic function, the author presents new and explicit for…

math.CA2013★ 20 cited

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 $H (x, y) = \frac{2}{\frac{1}{x} + \frac{1}{y}}$ and that the geometric mean $G (x, y) = x y$ , where $x$ and $y$ are two positive numbers. In the…

math.CA2013★ 11 cited

Sharp bounds in terms of the power of the contra-harmonic mean for Neuman-Sandor mean

Wei-Dong Jiang, Feng Qi

In the paper, the authors obtain sharp bounds in terms of the power of the contra-harmonic mean for Neuman-Sándor mean.

math.CA2013★ 7 cited

Sharp bounds for Neuman-Sándor's mean in terms of the root-mean-square