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In the article, the completely monotonic results of the functions [Γ(x+ 1)]1/x, [Γ(x+α+1)]1/(x+α) [Γ(x+1)]1/x , [Γ(x+1)]1/x (x+1)α and [Γ(x+1)]1/x xα in x ∈ (−1,∞) for α ∈ R are obtained. In the… (More)

- Bai-Ni Guo (郭白妮), Feng Qi (祁锋)
- J. Computational Applied Mathematics
- 2014

In the paper, the authors establish eight identities which reveal that the functions 1(1-e^+/-^t)^k and the derivatives (1e^+/-^t-1)^(^i^) can be expressed by each other by linear combinations with… (More)

- Feng Qi (祁锋)
- 1998

The generalized weighted mean values with two parameters are defined; their basic properties and monotonicities are investigated.

- Feng Qi (祁锋), Pietro Cerone, Sever Silvestru Dragomir, Hari M. Srivastava
- Applied Mathematics and Computation
- 2009

In this paper, alternative proofs are provided for monotonic and logarithmically convex properties of the one-parameter mean values J(r) and for monotonic properties of the product J(r)J(-r) on… (More)

Abstract A logarithmically completely monotonic function is completely monotonic. The function 1− ln x+ 1 x ln Γ(x+1) is strictly completely monotonic on (0,∞). The function Γ(x+1) x /x is strictly… (More)

The Schur-convex and Schur-concave properties with (x, y) in (0,∞) × (0,∞) for fixed (r, s) of the extended mean values E(r, s; x, y) are researched again, some errors in [F. Qi, J. Sandor, S. S.… (More)

- Feng Qi (祁锋)
- 2005

In the paper, three basic properties of the logarithmically N-alternating
monotonic functions are established and the monotonicity results
of some functions involving the gamma and q-gamma… (More)

- Feng Qi (祁锋), Zong-Li Wei, Qiao Yang
- 2005

In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded… (More)

- Feng Qi (祁锋), Da-Wei Niu, Jian Cao
- 2006

There exists a constant b∗ such that the function [Γ(x+ 1)]1/x(1+ 1/x)x+b/x is logarithmically completely monotonic and the function ψ′′(x) + [x4 + 5x3 + (7 + 3b)x2 + (7 + b)x+ 2]/x3(x+ 1)3 is… (More)