Results 41 to 50 of about 96,010 (323)

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
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Complete monotonicity of some entropies [PDF]

Periodica Mathematica Hungarica, 2016
It is well-known that the Shannon entropies of some parameterized probability distributions are concave functions with respect to the parameter. In this paper we consider a family of such distributions (including the binomial, Poisson, and negative binomial distributions) and investigate the Shannon, R nyi, and Tsallis entropies of them with respect ...
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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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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
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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
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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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Three classes of decomposable distributions

Open Mathematics, 2020
In this work, we refine the results of Sendov and Shan [New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures, J. Theor. Probab.
Jedidi Wissem, Basalim Kholoud, Bridaa Safa   +2 more
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Complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions

Journal of Mathematical Analysis and Applications, 2007
AbstractWe present some complete monotonicity and logarithmically complete monotonicity properties for the gamma and psi functions. This extends some known results due to S.-L. Qiu and M. Vuorinen.
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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
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Monotonicity, concavity, and inequalities related to the generalized digamma function

Advances in Difference Equations, 2018
In this paper, we establish a concave theorem and some inequalities for the generalized digamma function. Hence, we give complete monotonicity property of a determinant function involving all kinds of derivatives of the generalized digamma function.
Li Yin, Li-Guo Huang, Xiu-Li Lin, Yong-Li Wang   +3 more
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