Results 31 to 40 of about 12,250,575 (319)

Monotonicity properties of a function involving the psi function with applications

, 2015
In this paper, we present the best possible parameter a∈(1/15,∞)$a\in(1/15, \infty)$ such that the functions ψ′(x+1)−Lx(x,a)$\psi^{\prime}(x+1)-\mathcal{L}_{x}(x, a)$ and ψ″(x+1)−Lxx(x,a)$\psi^{\prime\prime }(x+1)-\mathcal{L}_{xx}(x, a)$ are strictly ...
Tie-hong Zhao, Zhen-Hang Yang, Y. Chu
semanticscholar   +1 more source

Bayesian Markov Random Rield Analysis for Protein Function Prediction Based on Network Data [PDF]

, 2010
Inference of protein functions is one of the most important aims of modern biology. To fully exploit the large volumes of genomic data typically produced in modern-day genomic experiments, automated computational methods for protein function prediction ...
ter Braak, C.J.F., Yiannis A I Kourmpetis, Cajo J F ter Braak, Kourmpetis, Y.I.A., Roeland C H J van Ham, Ham, R.C.H.J., van, Aalt D J van Dijk, van Dijk, A.D.J., Bink, M.C.A.M., van Dijk Aalt D. J., Kourmpetis Yiannis A. I., van Ham Roeland C. H. J., Dijk, A.D.J., van, Bink Marco C. A. M., Braak, C.J.F., ter, Marco C A M Bink, van Ham, R.C.H.J., ter Braak Cajo J. F.   +17 more
core   +1 more source

Optimal bounds for the generalized Euler–Mascheroni constant

Journal of Inequalities and Applications, 2018
We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved.
Ti-Ren Huang, Bo-Wen Han, Xiao-Yan Ma, Yu-Ming Chu   +3 more
doaj   +1 more source

Regional brain dysfunction in insomnia after ischemic stroke: A resting-state fMRI study

Frontiers in Neurology, 2022
ObjectiveThis study aimed to explore the abnormality of local brain function in patients with post-stroke insomnia (PSI) based on fMRI and explore the possible neuropathological mechanisms of insomnia in patients with PSI in combination with the ...
Hongzhuo Wang, Yunxuan Huang, Mingrui Li, Han Yang, Jie An, Xi Leng, Danghan Xu, Shijun Qiu   +7 more
doaj   +1 more source

Complete monotonicity involving some ratios of gamma functions

Journal of Inequalities and Applications, 2017
In this paper, by using the properties of an auxiliary function, we mainly present the necessary and sufficient conditions for various ratios constructed by gamma functions to be respectively completely and logarithmically completely monotonic.
Zhen-Hang Yang, Shen-Zhou Zheng
doaj   +1 more source

Some properties of the gamma and psi functions, with applications [PDF]

Mathematics of Computation, 2004
In this paper, some monotoneity and concavity properties of the gamma, beta and psi functions are obtained, from which several asymptotically sharp inequalities follow. Applying these properties, the authors improve some well-known results for the volume
Song-Liang Qiu, Matti Vuorinen
openaire   +2 more sources

TWO NEW PROOFS OF THE COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE PSI FUNCTION [PDF]

, 2009
In the present paper, we give two new proofs for the necessary and sucient condition fi • 1 such that the function x fi (lnx i ˆ(x ...
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar   +1 more source

On rational bounds for the gamma function

Journal of Inequalities and Applications, 2017
In the article, we prove that the double inequality x 2 + p 0 x + p 0 < Γ ( x + 1 ) < x 2 + 9 / 5 x + 9 / 5 $$ \frac{x^{2}+p_{0}}{x+p_{0}}< \Gamma(x+1)< \frac{x^{2}+9/5}{x+9/5} $$ holds for all x ∈ ( 0 , 1 ) $x\in(0, 1)$ , we present the best possible ...
Zhen-Hang Yang, Wei-Mao Qian, Yu-Ming Chu, Wen Zhang   +3 more
doaj   +1 more source

An arithmetic function arising from the Dedekind ψ function [PDF]

, 2017
We define ψ‾ to be the multiplicative arithmetic function that satisfies for all primes p and positive integers α. Let λ(n) be the number of iterations of the function ψ‾ needed for n to reach 2.
Defant, Colin
core   +1 more source

Monotonicity of the incomplete gamma function with applications

Journal of Inequalities and Applications, 2016
In the article, we discuss the monotonicity properties of the function x → ( 1 − e − a x p ) 1 / p / ∫ 0 x e − t p d t $x\rightarrow (1-e^{-ax^{p}} )^{1/p}/\int_{0}^{x}e^{-t^{p}}\,dt$ for a , p > 0 $a, p>0$ with p ≠ 1 $p\neq1$ on ( 0 , ∞ ) $(0, \infty ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
doaj   +1 more source