Results 41 to 50 of about 180,189 (322)
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, 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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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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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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A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function [PDF]
Bounds for completely monotonic degree of a remainder for an
asymptotic expansion of the trigamma function, Arab Journal of Basic and
Applied Sciences (2021), vol. 28, no. 1, 314--318, 2020 In the paper, the author presents a double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function. This result partially confirms one in a series of conjectures on completely monotonic degrees of remainders of asymptotic expansions for the logarithm of the gamma function and for polygamma ...
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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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A conjecture concerning a completely monotonic function
Computers & Mathematics with Applications, 2010 Based on a sequence of numerical computations, a conjecture is presented regarding the class of functions $H(x;a)=\exp(a)-(1+a/x)^x$, and the open problem of determining the values of $a$ for which the functions are completely monotonic with respect to $x$.
David J. Jeffrey +2 more
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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 +3 more
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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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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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