77 citations · 2.3k across the 111 of their papers we have counts for
6 papers · 2 filters
Inequalities of Hermite-Hadamard type for extended -convex functions and applications to means
Bo-Yan Xi, Feng Qi
In the paper, the authors introduce a new concept "extended -convex functions", establish some new integral inequalities of Hermite-Hadamard type for this kind of functions, and…
Explicit expressions for a family of Bell polynomials and derivatives of some functions
Feng Qi, Miao-Miao Zheng
In the paper, the authors first inductively establish explicit formulas for derivatives of the arc sine function, then derive from these explicit formulas explicit expressions for…
Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function
Feng Qi
In the paper, the authors establish integral representations of some functions related to the remainder of Burnside's formula for the gamma function and find the (logarithmically)…
A double inequality for bounding Toader mean by the centroidal mean
Yun Hua, Feng Qi
In the paper, the authors find the best numbers and such that for all…
Bounds for the combination of Toader mean and the arithmetic mean in terms of the contraharmonic mean
Wei-Dong Jiang, Feng Qi
In the paper, the authors find the greatest value and the least value such that the double inequality \begin{multline*} C(λa+(1-λ)b,λb+(1-λ)a)<αA(a,b)+(1-α)T(a,b)\\ < C(μa+…
An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind
Feng Qi
In the paper, the author establishes an integral representation for Cauchy numbers of the second kind, finds the complete monotonicity, minimality, and logarithmic convexity of Cau…