Results 51 to 60 of about 4,451,088 (304)
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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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 +3 more
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, 2020 In this paper, we establish a new asymptotic expansion of a ratio of two gamma functions, that is, as x → ∞ x\rightarrow \infty , [ Γ
Zhen-Hang Yang, Jing-feng Tian, M. Ha
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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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Supermodularity and preferences [PDF]
, 2008 We uncover the complete ordinal implications of supermodularity on finite lattices under the assumption of weak monotonicity. In this environment, we show that supermodularity is ordinally equivalent to the notion of quasisupermodularity introduced by ...
Chambers, Christopher P. +1 more
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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 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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Complete monotonicity of the logarithmic mean [PDF]
Mathematical Inequalities & Applications, 2007 In the article, the logarithmic mean is proved to be completely monotonic and an open problem about the logarithmically complete monotonicity of the extended mean values is posed.
Feng Qi, Shou-Xin Chen
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Note on Completely Monotone Densities
The Annals of Mathematical Statistics, 1969 In [2] it is proved that mixtures of exponential distributions are infinitely divisible (id). In [3] it is proved that the same holds for the discrete analogue, i.e. for mixtures of geometric distributions. In this note we show that these results imply that a density function $f(x)$ (or distribution $\{p_n\}$ on the integers) is id if the function $f(x)
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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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