Results 11 to 20 of about 91,090 (271)

Monotonicity and inequalities related to complete elliptic integrals of the second kind

AIMS Mathematics, 2020
In the paper, the authors present some monotonicity properties of certain functions defined in terms of the complete elliptic integrals of the second kind and some elementary functions and, consequently, improve several known inequalities for the ...
Fei Wang, Bai-Ni Guo, Feng Qi
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Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity [PDF]

Journal of Mathematics
Our aim is to provide, using properties of the gamma function and the complete monotonicity of functions, some sharp bounds for the products ∏k=1n‍5k−i/5k, i=1,2,3,4.
Jenică Crînganu, Alina-Mihaela Patriciu   +1 more
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Complete Monotone Quasiconcave Duality [PDF]

Mathematics of Operations Research, 2011
We introduce a notion of complete monotone quasiconcave duality, motivated by some economic applications. We show that this duality holds for important classes of quasiconcave functions.
Cerreia Vioglio, Simone, Maccheroni, Fabio, Marinacci, Massimo, Montrucchio, Luigi   +3 more
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Monotonicity properties for a ratio of finite many gamma functions

Advances in Difference Equations, 2020
In the paper, the authors consider a ratio of finite many gamma functions and find its monotonicity properties such as complete monotonicity, the Bernstein function property, and logarithmically complete monotonicity.
Feng Qi, Dongkyu Lim
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Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind

Comptes Rendus. Mathématique, 2023
In this paper, we introduce some monotonicity rules for the ratio of integrals. Furthermore, we demonstrate that the function $-T_{\nu ,\alpha ,\beta }(s)$ is completely monotonic in $s$ and absolutely monotonic in $\nu $ if and only if $\beta \ge 1 ...
Mao, Zhong-Xuan, Tian, Jing-Feng
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Some Properties of the Kilbas-Saigo Function

Mathematics, 2021
We characterize the complete monotonicity of the Kilbas-Saigo function on the negative half-line. We also provide the exact asymptotics at −∞, and uniform hyperbolic bounds are derived.
Lotfi Boudabsa, Thomas Simon
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Logarithmically completely monotonic rational functions

Automatica, 2023
This paper studies the class of logarithmically completely monotonic (LCM) functions. These functions play an important role in characterising externally positive linear systems which find applications in important control problems such as non-overshooting reference tracking.
Taghavian, Hamed, Drummond, Ross, Johansson, Mikael   +2 more
openaire   +3 more sources

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
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Approximations related to the complete p-elliptic integrals

Open Mathematics, 2022
In this paper, the authors present some monotonicity properties for certain functions involving the complete p-elliptic integrals of the first and second kinds, by showing the monotonicity and concavity-convexity properties of certain combinations ...
Zhong Genhong, Ma Xiaoyan, Wang Fei
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Increasing property and logarithmic convexity of functions involving Dirichlet lambda function

Demonstratio Mathematica, 2023
In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
doaj   +1 more source