Results 31 to 40 of about 107,939 (274)

Three dimensional epidemic model with non-monotonic incidence and saturated treatment: A case study of SARS infection of Hong Kong 2003 scenario

Results in Control and Optimization, 2023
In this paper, we have proposed a mathematical compartmental model with non-monotonic incidence and saturated treatment and we have validated the model with SARS infection in Hong Kong, 2003.
Jayanta Kumar Ghosh, Uttam Ghosh
doaj   +1 more source

Modeling of Stress-Strain Relationship for Fibrous Concrete Under Cyclic Loads [PDF]

Engineering and Technology Journal, 2008
A mathematical model to predict the stress–strain behavior of fibrous concrete compositesunder random cyclic compressive loadings is developed. The envelopeunloading strain is used as an index of load history, while the plastic strain andreloading strain
Bayar J. Al-Sulayfani, Hatim T. Al-Taee
doaj   +1 more source

q-Completely monotonic and q-Bernstein functions [PDF]

Journal of Applied Mathematics, Statistics and Informatics, 2014
Abstract We introduce the q-Bernstein functions, for 0<q<1 , and give sufficient and necessary conditions for a function to belong to the class of q -Bernstein functions. For some classes of functions we give results concerning q - completely monotonic and q -Bernstein functions.
Kokologiannaki, Chrysi G., Krasniqi, Valmir   +1 more
openaire   +1 more source

A Sufficient and Necessary Condition for the Power-Exponential Function ${\left(1+\frac{1}{x}\right)}^{\alpha x}$ to Be a Bernstein Function and Related nth Derivatives

Fractal and Fractional, 2023
In the paper, the authors find a sufficient and necessary condition for the power-exponential function 1+1xαx to be a Bernstein function, derive closed-form formulas for the nth derivatives of the power-exponential functions 1+1xαx and (1+x)α/x, and ...
Jian Cao, Bai-Ni Guo, Wei-Shih Du, Feng Qi   +3 more
doaj   +1 more source

An integral representation and properties of Bernoulli numbers of the second kind [PDF]

, 2013
In the paper, the author establishes an integral representation and properties of Bernoulli numbers of the second kind and reveals that the generating function of Bernoulli numbers of the second kind is a Bernstein function on $(0,\infty)$.Comment: 9 ...
Qi, Feng
core   +1 more source

An Approximation Formula for Nielsen’s Beta Function Involving the Trigamma Function

Mathematics, 2022
We prove that the function σ(s) defined by β(s)=6s2+12s+53s2(2s+3)−ψ′(s)2−σ(s)2s5,s>0, is strictly increasing with the sharp bounds ...
Mansour Mahmoud, Hanan Almuashi
doaj   +1 more source

Complete Monotonicity of Modified Bessel Functions [PDF]

Proceedings of the American Mathematical Society, 1990
We prove that if ν > 1 / 2 \nu > 1/2 , then 2 ν − 1 Γ ( ν ) / [ x ν
openaire   +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

Three-point bounds for energy minimization [PDF]

, 2012
Three-point semidefinite programming bounds are one of the most powerful known tools for bounding the size of spherical codes. In this paper, we use them to prove lower bounds for the potential energy of particles interacting via a pair potential ...
Cohn, Henry, Woo, Jeechul
core   +1 more source

A conjecture concerning a completely monotonic function

Computers & Mathematics with Applications, 2010
Based on a sequence of numerical computations, a conjecture is presented regarding the class of functions $H(x;a)=\exp(a)-(1+a/x)^x$, and the open problem of determining the values of $a$ for which the functions are completely monotonic with respect to $x$.
Shemyakova, E., Khashin, S.I., Jeffrey, D.J.   +2 more
openaire   +2 more sources