Results 21 to 30 of about 637,629 (276)
Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean
Journal of Applied Mathematics, 2013 We present the greatest value p such that the inequality P(a,b)>Lp(a,b) holds for all a,b>0 with a≠b, where P(a,b) and Lp(a,b) denote the Seiffert and pth generalized logarithmic means of a and b, respectively.
Ying-Qing Song +3 more
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Signal Processing and Channel Modelling for 5G Millimeter-Wave Communication Environment
Journal of Computing and Information Technology, 2023 Compared to frequency bands below 6 GHz, 5G millimeter waves offer several advantages, including a large bandwidth, minimal null delay, and flexible null port configuration.
Yu Qian
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On approximating the modified Bessel function of the first kind and Toader-Qi mean
Journal of Inequalities and Applications, 2016 In the article, we present several sharp bounds for the modified Bessel function of the first kind I 0 ( t ) = ∑ n = 0 ∞ t 2 n 2 2 n ( n ! ) 2 $I_{0}(t)=\sum_{n=0}^{\infty}\frac{t^{2n}}{2^{2n}(n!)^{2}}$ and the Toader-Qi mean T Q ( a , b ) = 2 π ∫ 0 π ...
Zhen-Hang Yang, Yu-Ming Chu
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Inequalities for Generalized Logarithmic Means
Journal of Inequalities and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia Wei-Feng, Chu Yu-Ming
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A new friction factor relationship for fully developed pipe flow [PDF]
, 2005 The friction factor relationship for high-Reynolds-number fully developed turbulent pipe flow is investigated using two sets of data from the Princeton Superpipe in the range 31×10^3 ≤ ReD ≤ 35×10^6. The constants of Prandtl’s ‘universal’ friction factor
McKeon, B. J. +2 more
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Logarithmic estimates for mean-field models in dimension two and the Schrödinger–Poisson system
Comptes Rendus. Mathématique, 2022 In dimension two, we investigate a free energy and the ground state energy of the Schrödinger–Poisson system coupled with a logarithmic nonlinearity in terms of underlying functional inequalities which take into account the scaling invariances of the ...
Dolbeault, Jean +2 more
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Unitarily invariant norm inequalities for some means [PDF]
, 2014 We introduce some symmetric homogeneous means, and then show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki.
Furuichi, Shigeru
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Journal of Mathematical Analysis and Applications, 1994 Based on the integral formula \(L(x, y)= \int^ 1_ 0 x^ t y^{1- t} dt\) for the logarithmic mean in two variables, the author generalizes it to several variables by defining \[ L(\mu; x_ 1, x_ 2,\dots, x_ n)= \int x^{t_ 1}_ 1 x^{t_ 2}_ 2\cdots x^{t_ n}_ n d\mu(t).
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Optimal inequalities related to the logarithmic, identric, arithmetic and harmonic means
Journal of Numerical Analysis and Approximation Theory, 2010 The logarithmic mean \(L(a,b)\), identric mean \(I(a,b)\), arithmeticmean \(A(a,b)\) and harmonic mean \(H(a,b)\) of two positive real values \(a\) and \(b\) are defined by\begin{align*}\label{main}&L(a,b)=\begin{cases}\tfrac{b-a}{\log b-\log a},& a\neq ...
Wei-feng Xia, Chu Yu-Ming
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Logarithmic mean temperature profiles and their connection to plume emissions in turbulent Rayleigh-B\'enard convection [PDF]
, 2015 Two-dimensional simulations of Rayleigh-B\'enard convection at $Ra = 5\times10^{10}$ show that vertical logarithmic mean temperature profiles can be observed in regions of the boundary layer where thermal plumes are emitted.
Grossmann, Siegfried +4 more
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