Results 31 to 40 of about 91,090 (271)

Directional Shift-Stable Functions

Mathematics, 2021
Recently, some new types of monotonicity—in particular, weak monotonicity and directional monotonicity of an n-ary real function—were introduced and successfully applied.
Radko Mesiar, Andrea Stupňanová
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

Supermodularity and preferences [PDF]

, 2008
We uncover the complete ordinal implications of supermodularity on finite lattices under the assumption of weak monotonicity. In this environment, we show that supermodularity is ordinally equivalent to the notion of quasisupermodularity introduced by ...
Chambers, Christopher P., Echenique, Federico   +1 more
core   +4 more sources

Monotonicity, convexity and inequalities involving zero-balanced Gaussian hypergeometric function

AIMS Mathematics, 2022
We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the zero-balanced Gaussian hypergeometric function F(a,b;a+b;x).
Li Xu, Lu Chen, Ti-Ren Huang
doaj   +1 more source

Several Functions Originating from Fisher–Rao Geometry of Dirichlet Distributions and Involving Polygamma Functions

Mathematics, 2023
In this paper, the authors review and survey some results published since 2020 about (complete) monotonicity, inequalities, and their necessary and sufficient conditions for several newly introduced functions involving polygamma functions and originating
Feng Qi, Ravi Prakash Agarwal
doaj   +1 more source

Completely monotone fading memory relaxation modulii [PDF]

Bulletin of the Australian Mathematical Society, 2002
In linear viscoelasticity, the fundamental model is the Boltzmann caual integral equation which defines how the stress σ(t) at time t depends on the earlier history of the shear rate via the relaxation modulus (kernel) G (t). Physical reality is achieved by requiring that the form of the relaxation modulus G (t) gives the Boltzmann equation fading ...
Anderssen, Robert S, Loy, Richard
openaire   +2 more sources

Convergence and regularization for monotonicity-based shape reconstruction in electrical impedance tomography [PDF]

, 2016
The inverse problem of electrical impedance tomography is severely ill-posed, meaning that, only limited information about the conductivity can in practice be recovered from boundary measurements of electric current and voltage.
Garde, Henrik, Staboulis, Stratos
core   +2 more sources

A SOLUTION TO FOURTH QI’S CONJECTURE ON A COMPLETE MONOTONICITY

Проблемы анализа, 2020
In the paper, a complete monotonicity for some function is proved. This problem was posted by F. Qi and R.P.
L. Matej´ıcka
doaj   +1 more source

New Monotonicity and Infinite Divisibility Properties for the Mittag-Leffler Function and for Stable Distributions

Mathematics, 2023
Hyperbolic complete monotonicity property (HCM) is a way to check if a distribution is a generalized gamma (GGC), hence is infinitely divisible. In this work, we illustrate to which extent the Mittag-Leffler functions Eα,α∈(0,2], enjoy the HCM property ...
Nuha Altaymani, Wissem Jedidi
doaj   +1 more source

Absolute Monotonicity of Functions Related To Estimates of First Eigenvalue of Laplace Operator on Riemannian Manifolds

International Journal of Analysis and Applications, 2014
The authors find the absolute monotonicity and complete monotonicity of some functions involving trigonometric functions and related to estimates the lower bounds of the first eigenvalue of Laplace operator on Riemannian manifolds.
Feng Qi, Miao-Miao Zheng
doaj   +2 more sources