Results 11 to 20 of about 6,291 (196)

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
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Complete Monotonicity of Functions Connected with the Exponential Function and Derivatives

Abstract and Applied Analysis, 2014
Some complete monotonicity results that the functions ±1/e±t-1 are logarithmically completely monotonic, and that differences between consecutive derivatives of these two functions are completely monotonic, and that the ratios between consecutive ...
Chun-Fu Wei, Bai-Ni Guo
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Monotonicity and absolute monotonicity for the two-parameter hyperbolic and trigonometric functions with applications

Journal of Inequalities and Applications, 2016
In this paper, we present the monotonicity and absolute monotonicity properties for the two-parameter hyperbolic and trigonometric functions. As applications, we find several complete monotonicity properties for the functions involving the gamma function
Zhen-Hang Yang, Yu-Ming Chu
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Regular black holes and complete monotonicity

Journal of High Energy Physics
We examine the conjecture for the complete monotonicity of certain curvature invariants for regular black holes. In this note, we study a class of regular black holes that are static, spherically symmetric, and characterized only by their mass.
A. Almasi, A. Moradpouri, M. Shahbazi
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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
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Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind [PDF]

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
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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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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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REMARKS ON COMPLETE MONOTONICITY OF A FUNCTION INVOLVING THE GAMMA FUNCTION

Проблемы 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
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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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