Results 11 to 20 of about 96,010 (323)

Strong Bounds for Certain Products Using the Gamma Function and Complete Monotonicity

open access: goldJournal 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   +1 more
doaj   +2 more sources

REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION

open access: diamondПроблемы анализа, 2015
In the note, the authors give several remarks on the paper in "Chen and Haigang Zhou On completely monotone of an arbitrary real parameter function involving the gamma function. Applied Mathematics and Compulation, 2014, vol. 242, pp.
F. Qi, B. N. Guo
doaj   +2 more sources

Complete Monotone Quasiconcave Duality [PDF]

open access: yesMathematics 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   +3 more
openaire   +4 more sources

Monotonicity properties for a ratio of finite many gamma functions

open access: yesAdvances 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
doaj   +1 more source

Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind

open access: yesComptes 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
doaj   +1 more source

Some Properties of the Kilbas-Saigo Function

open access: yesMathematics, 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
doaj   +1 more source

Approximations related to the complete p-elliptic integrals

open access: yesOpen 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
doaj   +1 more source

Increasing property and logarithmic convexity of functions involving Dirichlet lambda function

open access: yesDemonstratio 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

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