Results 11 to 20 of about 5,559,638 (318)
ON TWO NEW MEANS OF TWO ARGUMENTS III [PDF]
Проблемы анализа, 2018 In this paper we establish two sided inequalities for the following two new means X=X(a,b)=Ae^(G/P−1), Y=Y(a,b)=Ge^(L/A−1), where A, G, L and P are the arithmetic, geometric, logarithmic, and Seiffert means, respectively.
J. Sandor , B. A. Bhayo
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Bounds of the logarithmic mean [PDF]
Journal of Inequalities and Applications, 2013 The second assertion in (i) of Proposition 5.2 was modified. (This modification shows our means are better bounds than the standard Riemann sum for the logarithmic mean.)
Furuichi, Shigeru, Yanagi, Kenjiro
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Time-Dependent Mean-Field Games with Logarithmic Nonlinearities [PDF]
SIAM Journal on Mathematical Analysis, 2015 In this paper, we prove the existence of classical solutions for time dependent mean-field games with a logarithmic nonlinearity and subquadratic Hamiltonians. Because the logarithm is unbounded from below, this nonlinearity poses substantial mathematical challenges that have not been addressed in the literature.
Gomes, Diogo A., Pimentel, Edgard
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Logarithmic Mean Temperature Profiles and Their Connection to Plume Emissions in Turbulent Rayleigh-Bénard Convection. [PDF]
Physical Review Letters, 2015 Two-dimensional simulations of Rayleigh-Bénard convection at Ra=5×10^{10} show that vertical logarithmic mean temperature profiles can be observed in regions of the boundary layer where thermal plumes are emitted. The profile is logarithmic only in these
Erwin P. van der Poel +4 more
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Optimal Lower Power Mean Bound for the Convex Combination of Harmonic and Logarithmic Means [PDF]
Abstract and Applied Analysis, 2011 We find the least value λ∈(0,1) and the greatest value p=p(α) such that αH(a,b)+(1−α)L(a,b)>Mp(a,b) for α∈[λ,1) and all a,b>0 with a≠b, where H(a,b), L(a,b), and Mp(a,b) are the harmonic, logarithmic, and p-th power means of two positive numbers a and b,
Yu-Ming Chu, Shan-Shan Wang, Cheng Zong
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Best Possible Bounds for Yang Mean Using Generalized Logarithmic Mean [PDF]
Mathematical Problems in Engineering, 2016 We prove that the double inequality holds for all with if and only if and and find several sharp inequalities involving the trigonometric, hyperbolic, and inverse trigonometric functions, where is the unique solution of the equation on the interval ...
Wei-Mao Qian, Y. Chu
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On bounds of logarithmic mean and mean inequality chain [PDF]
Mathematical Inequalities & Applications, 2022 An upper bound of the logarithmic mean is given by a convex combination of the arithmetic mean and the geometric mean. In addition, a lower bound of the logarithmic mean is given by a geometric bridge of the arithmetic mean and the geometric mean.
S. Furuichi, Mehdi Eghbali Amlashi
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Refining Pure-Tone Average Calculations for Reporting Hearing Outcomes: Advocating a Shift to the Logarithmic Mean [PDF]
International Archives of OtorhinolaryngologyAli Faramarzi
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Syst., 2023 The electricity sector is a complex system, especially in the Yangtze River Delta (YRD) of China. Thus, the carbon dioxide (CO2) emission of YRD’s electricity sector during 2000–2020 was first calculated and then evaluated from two systematical ...
Jianfeng Chen +4 more
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Energies, 2022 Greenhouse gas (GHG) emissions from agriculture contribute to climate change. The consequences of unsustainable agricultural activity are polluted water, soil, air, and food.
D. Makutėnienė +2 more
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