Results 21 to 30 of about 5,079 (264)

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

Some Properties of the Fuss–Catalan Numbers

Mathematics, 2018
In the paper, the authors express the Fuss⁻Catalan numbers as several forms in terms of the Catalan⁻Qi function, find some analytic properties, including the monotonicity, logarithmic convexity, complete monotonicity, and minimality, of the ...
Feng Qi, Pietro Cerone
doaj   +1 more source

Monotonicity properties and bounds for the complete p-elliptic integrals

Journal of Inequalities and Applications, 2018
We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.
Ti-Ren Huang, Shen-Yang Tan, Xiao-Yan Ma, Yu-Ming Chu   +3 more
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

Complete monotonicity related to the k-polygamma functions with applications

Advances in Difference Equations, 2019
In this paper, we prove complete monotonicity of some functions involving k-polygamma functions. As an application of the main result, we also give new upper and lower bounds of the k-digamma function.
Li Yin, Jumei Zhang, XiuLi Lin
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

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

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

Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind

Comptes Rendus. Mathématique, 2020
With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions involving complete $(p,q)$-elliptic integrals of the first kind and the inverse of generalized hyperbolic tangent function, derive several sharp inequalities ...
Wang, Fei, Qi, Feng
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