Results 31 to 40 of about 5,224 (301)
Directional Shift-Stable Functions
Mathematics, 2021 Recently, some new types of monotonicity—in particular, weak monotonicity and directional monotonicity of an n-ary real function—were introduced and successfully applied.
Radko Mesiar, Andrea Stupňanová
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A class of completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2022 Let Γ ( x ) $\Gamma (x)$ denote the classical Euler gamma function. We set ψ n ( x ) = ( − 1 ) n − 1 ψ ( n ) ( x ) $\psi _{n}(x)=(-1)^{n-1}\psi ^{(n)}(x)$ ( n ∈ N $n\in \mathbb{N}$ ), where ψ ( n ) ( x ) $\psi ^{(n)}(x)$ denotes the nth derivative of the
Li-Chun Liang, Li-Fei Zheng, Aying Wan
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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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Mathematics, 2023 In this paper, the authors review and survey some results published since 2020 about (complete) monotonicity, inequalities, and their necessary and sufficient conditions for several newly introduced functions involving polygamma functions and originating
Feng Qi, Ravi Prakash Agarwal
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Completely monotone fading memory relaxation modulii [PDF]
Bulletin of the Australian Mathematical Society, 2002 In linear viscoelasticity, the fundamental model is the Boltzmann caual integral equation which defines how the stress σ(t) at time t depends on the earlier history of the shear rate via the relaxation modulus (kernel) G (t). Physical reality is achieved by requiring that the form of the relaxation modulus G (t) gives the Boltzmann equation fading ...
Anderssen, Robert S, Loy, Richard
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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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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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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 and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind
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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Completely Monotone Functions: A Digest [PDF]
, 2014 To appear in: K. Alladi, G.V. Milovanovic and M. Th. Rassias (Eds.): "Analytic Number Theory, Approximation Theory and Special Functions", Special Volume dedicated to Professor Hari M.
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