Results 41 to 50 of about 357 (103)

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

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
core   +1 more source

Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function [PDF]

, 2014
In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Γ(x + 1)/Γ(x + 1/2) and Γ(x + 1/2)
Chen, Chao-Ping, Paris, Richard B.
core   +4 more sources

EXPONENTIAL CONVEXITY OF THE FAVARD'S INEQUALITY AND RELATED RESULTS

, 2017
A b s t r a c t: In this paper we prove positive semi-definiteness of matrices generated by differences deduced from unweighted and weighted Favard's inequality. This implies a surprising property of exponential convexity of this differences which allows
N. Latif, J. Pečarić, I. Peric
semanticscholar   +1 more source

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 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
core   +1 more source

An involution inequality for the Kullback-Leibler divergence

, 2017
. Let Rt := t P + (1− t)Pι , where t ∈ (0,1) , P is a probability measure, and Pι is the push-forward image of P under a measurable involution ι . An inequality involving the Kullback–Leibler divergence of Rt from P is given. It is shown that the role of
I. Pinelis
semanticscholar   +1 more source

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
core  

Some inequalities associated to the ratio of Pochhammer k-symbol

, 2017
In this paper, we study some ratios of the Pochhammer k -symbol. We prove some sharp inequalities for the ratio of Pochhammer k -symbol by Multiple-correction method. Mathematics subject classification (2010): 33B15, 26D07, 26A48.
Xu You, Shouyou Huang, Lu Liu
semanticscholar   +1 more source

On the Laplace transform of absolutely monotonic functions

, 2016
We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function.
Koumandos, Stamatis, Pedersen, Henrik L.
core   +1 more source