Results 21 to 30 of about 185,563 (292)
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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Calibration of Mean Wind Profiles Using Wind Lidar Measurements
Applied Sciences, 2023 This paper explores the applicability of Lidar wind measurements for the calibration of mean wind profiles depending on the extension in time and space of the available measurements.
Vincenzo Sepe +3 more
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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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Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. [PDF]
, 2011 The periodic KdV equation arises from a Hamiltonian system with infinite-dimensional phase space L^2(T). Bourgain has shown that there exists a Gibbs measure \nu on balls in the phase space such that the Cauchy problem for KdV is well posed on the ...
Gordon Blower, Blower, Gordon
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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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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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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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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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On a Characterization of the Logarithmic Mean
Results in MathematicsAbstractIn the present note we are interested in proving the counterpart of the (right-hand side of the) celebrated Hermite–Hadamard inequality for $$\varphi $$ φ -convex functions. In particular, we prove that the only $$\varphi $$ φ -convex function for which the Hermite–Hadamard ...
Timothy Nadhomi +2 more
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