Results 31 to 40 of about 16,133 (297)

Short Remarks on Complete Monotonicity of Some Functions

Mathematics, 2020
In this paper, we show that the functions x m | β ( m ) ( x ) | are not completely monotonic on ( 0 , ∞ ) for all m ∈ N , where β ( x ) is the Nielsen’s β -function and we prove the functions x m − 1
Ladislav Matejíčka
doaj   +1 more source

A completely monotone function related to the Gamma function

Journal of Computational and Applied Mathematics, 2001
The authors consider the function \[ f(z) = {\log{\Gamma(z+1)} \over z\log{z}} , \] which is holomorphic in \(\mathbb C \setminus (-\infty,0]\), and they show that the reciprocal function \(1/f\) can be represented as a Stieltjes transform. From this it follows that the derivative \(f'\) is completely monotone, that is \((-1)^{n-1}f^{(n)}(x) \geq 0 ...
Berg, Christian, Pedersen, Henrik L.
openaire   +2 more sources

MONOTONICITY AND CONVEXITY PROPERTIES OF THE NIELSEN’S β-FUNCTION

Проблемы анализа, 2017
The Nielsen’s β-function provides a powerful tool for evaluating and estimating certain integrals, series and mathematical constants. It is related to other special functions such as the digamma function, the Euler’s beta function and the Gauss ...
Kwara Nantomah
doaj   +1 more source

A class of completely monotonic functions involving the polygamma functions

Journal of Inequalities and Applications, 2022
Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
doaj   +1 more source

Necessary and sufficient conditions for two functions defined by two derivatives of a function involving trigamma function to be completely monotonic or monotonic

, 2023
In the paper, by convolution theorem for the Laplace transforms, some properties of a function involving exponential function, and other analytic techniques, the author finds necessary and sufficient conditions for two functions defined by two ...
Feng Qi (祁锋)
core   +1 more source

Sex‐Stratified Association of Regional Dopamine Transporter Binding With Disease Progression in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To clarify the clinical relevance of dopamine transporter single‐photon emission computed tomography (DAT‐SPECT) abnormalities in amyotrophic lateral sclerosis (ALS), with a prespecified focus on sex‐stratified associations with disease progression and short‐term prognosis.
Tomoya Kawazoe, Keizo Sugaya, Kentaro Hayashi, Keiko Hino, Yasuhiro Nakata, Kota Bokuda, Toshio Shimizu, Kazushi Takahashi   +7 more
wiley   +1 more source

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

Advanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid   +2 more
wiley   +1 more source

Interconversion Relationships for Completely Monotone Functions

SIAM Journal on Mathematical Analysis, 2014
In linear viscoelasticity, the analytically valid Volterra convolution interconversion relationships between the relaxation modulus $G$ and the corresponding creep compliance (retardation) modulus $J$ play a fundamental role. They allow $J$ to be determined from both theoretical and experimental estimates of $G$ and conversely.
Loy, Richard, Anderssen, Robert
openaire   +2 more sources

Air‐Pressure–Actuated Vibroacoustic Metamaterial With Tunable Bandgap: Design, Modeling, and Characterization

Advanced Engineering Materials, EarlyView.
This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal, Michael M. Becker, Sarah C. L. Fischer   +2 more
wiley   +1 more source

On the Properties of Estimates of Monotonic Mean Vectors for Multivariate Normal Distributions [PDF]

Journal of Statistical Theory and Applications (JSTA), 2015
.Problems concerning estimation of parameters and determination the statistic, when it is known a priori that some of these parameters are subject to certain order restrictions, are of considerable interest.
Abouzar Bazyari
doaj   +1 more source