Results 21 to 30 of about 278 (64)

An alternative proof of Elezovi\'c-Giordano-Pe\v{c}ari\'c's theorem

, 2009
In the present note, an alternative proof is supplied for Theorem~1 in [N. Elezovi\'c, C. Giordano and J. Pe\v{c}ari\'c, \textit{The best bounds in Gautschi's inequality}, Math. Inequal. Appl.
Guo, Bai-Ni, Qi, Feng
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Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

A completely monotonic function involving the tri- and tetra-gamma functions

, 2010
The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
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The geometric mean is a Bernstein function [PDF]

, 2013
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 $n$ positive numbers.
Li, Wen-Hui, Qi, Feng, Zhang, Xiao-Jing
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Characterizations of minimal elements of upper support with applications in minimizing DC functions

Open Mathematics
In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh, Barsam Hasan, Ciurdariu Loredana   +2 more
doaj   +1 more source

Generalization of Some Inequalities for the Ratio of Gamma Functions [PDF]

, 2014
access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright C K. Nantomah, E. Prempeh, K. Nantomah, M. M. Iddrisu, M. M. Iddrisu   +4 more
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Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]

, 2002
In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Luo, Qiu-Ming, Qi, Feng
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The critical exponent conjecture for powers of doubly nonnegative matrices

, 2013
Doubly non-negative matrices arise naturally in many setting including Markov random fields (positively banded graphical models) and in the convergence analysis of Markov chains. In this short note, we settle a recent conjecture by C.R.
Guillot, Dominique, Khare, Apoorva, Rajaratnam, Bala   +2 more
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A refinement of a double inequality for the gamma function

, 2011
In the paper, we present a monotonicity result of a function involving the gamma function and the logarithmic function, refine a double inequality for the gamma function, and improve some known results for bounding the gamma function.Comment: 8 ...
Guo, Bai-Ni, Qi, Feng
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Logarithmically Completely Monotonic Ratios of Mean Values and an Application [PDF]

, 2005
In the article, some strictly Logarithmically completely monotonic ratios of mean values are ...
Chen, Chao-Ping, Qi, Feng
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