Results 11 to 20 of about 360,646 (291)

Compact composition operators on Bergman-Orlicz spaces [PDF]

open access: yes, 2010
We construct an analytic self-map $\phi$ of the unit disk and an Orlicz function $\Psi$ for which the composition operator of symbol $\phi$ is compact on the Hardy-Orlicz space $H^\Psi$, but not compact on the Bergman-Orlicz space ${\mathfrak B}^\Psi ...
Lefèvre, Pascal   +3 more
core   +3 more sources

The Partial Visibility Representation Extension Problem [PDF]

open access: yes, 2015
For a graph $G$, a function $\psi$ is called a \emph{bar visibility representation} of $G$ when for each vertex $v \in V(G)$, $\psi(v)$ is a horizontal line segment (\emph{bar}) and $uv \in E(G)$ iff there is an unobstructed, vertical, $\varepsilon$-wide
A Garg   +13 more
core   +3 more sources

Efficient prime counting and the Chebyshev primes [PDF]

open access: yes, 2011
The function $\epsilon(x)=\mbox{li}(x)-\pi(x)$ is known to be positive up to the (very large) Skewes' number. Besides, according to Robin's work, the functions $\epsilon_{\theta}(x)=\mbox{li}[\theta(x)]-\pi(x)$ and $\epsilon_{\psi}(x)=\mbox{li}[\psi(x)]-\
Planat, Michel, Solé, Patrick
core   +5 more sources

The monotonicity and convexity of a function involving psi function with applications

open access: yesJournal of Inequalities and Applications, 2016
In this paper, we prove that the function x ↦ exp ( ψ ( x + 1 2 ) − 1 24 1 x 2 + 7 / 40 ) − x $$ x\mapsto\exp \biggl( \psi \biggl( x+\frac{1}{2} \biggr) -\frac {1}{24} \frac{1}{x^{2}+7/40} \biggr) -x $$ is decreasing from ( − 1 / 2 , ∞ ) $( -1/2,\infty )
Bang-Cheng Sun   +3 more
doaj   +1 more source

Monotonicity and inequalities involving the incomplete gamma function

open access: yesJournal of Inequalities and Applications, 2016
In the article, we deal with the monotonicity of the function x → [ ( x p + a ) 1 / p − x ] / I p ( x ) $x\rightarrow[ (x^{p}+a )^{1/p}-x]/I_{p}(x)$ on the interval ( 0 , ∞ ) $(0, \infty)$ for p > 1 $p>1$ and a > 0 $a>0$ , and present the necessary and ...
Zhen-Hang Yang, Wen Zhang, Yu-Ming Chu
doaj   +1 more source

Padé approximant related to asymptotics for the gamma function

open access: yesJournal of Inequalities and Applications, 2017
Based on the Padé approximation method, we determine the coefficients a j $a_{j}$ and b j $b_{j}$ ( 1 ≤ j ≤ k $1\leq j\leq k$ ) such that Γ ( x + 1 ) 2 π x ( x / e ) x = x k + a 1 x k − 1 + ⋯ + a k x k + b 1 x k − 1 + ⋯ + b k + O ( 1 x 2 k + 1 ) , x → ∞ ,
Xin Li, Chao-Ping Chen
doaj   +1 more source

Optimal bounds for the generalized Euler–Mascheroni constant

open access: yesJournal 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   +3 more
doaj   +1 more source

Cross sections for 2-to-1 meson–meson scattering

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
We study the processes $$K{\bar{K}} \rightarrow \phi $$ K K ¯ → ϕ , $$\pi D \rightarrow D^*$$ π D → D ∗ , $$\pi {\bar{D}} \rightarrow {\bar{D}}^*$$ π D ¯ → D ¯ ∗ , and the production of $$\psi (3770)$$ ψ ( 3770 ) , $$\psi (4040)$$ ψ ( 4040 ) , $$\psi ...
Wan-Xia Li, Xiao-Ming Xu, H. J. Weber
doaj   +1 more source

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

open access: yesFrontiers 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   +7 more
doaj   +1 more source

Inequalities between some arithmetic functions, II [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
As a continuation of Part I (see [1]), we offer new inequalities for classical arithmetic functions such as the Euler's totient function, the Dedekind's psi function, the sum of the positive divisors function, the number of divisors function, extended ...
Krassimir Atanassov   +2 more
doaj   +1 more source

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