Results 1 to 10 of about 637,530 (177)
Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we find the greatest values α 1 , α 2 $\alpha_{1},\alpha_{2}$ and the smallest values β 1 , β 2 $\beta_{1},\beta_{2}$ such that the double inequalities L α 1 ( a , b ) < AG ( a , b ) < L β 1 ( a , b ) $L_{\alpha_{1}}(a,b)0$ with a ≠ b $a ...
Qing Ding, Tiehong Zhao
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The power mean and the logarithmic mean [PDF]
International Journal of Mathematics and Mathematical Sciences, 1982 In a very interesting and recent note, Tung-Po Lin [1] obtained the least value q and the greatest value p such that ...
Christopher Olutunde Imoru
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Bounds of the logarithmic mean [PDF]
Journal of Inequalities and Applications, 2013 We give tight bounds for logarithmic mean. We also give new Frobenius norm inequalities for two positive semidefinite matrices. In addition, we give some matrix inequalities on matrix power mean.Comment: The second assertion in (i) of Proposition 5.2 was
Furuichi, Shigeru, Yanagi, Kenjiro
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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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The logarithmic mean of two convex functionals
Open Mathematics, 2020 The purpose of this paper is to introduce the logarithmic mean of two convex functionals that extends the logarithmic mean of two positive operators. Some inequalities involving this functional mean are discussed as well.
Raïssouli Mustapha, Furuichi Shigeru
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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.
Diogo A Gomes, Edgard A Pimentel
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Logarithmic mean optimization a metaheuristic algorithm for global and case specific energy optimization [PDF]
Scientific ReportsThis study introduces a novel metaheuristic optimization algorithm named Logarithmic Mean-Based Optimization (LMO), designed to enhance convergence speed and global optimality in complex energy optimization problems.
Idriss Dagal +10 more
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Energy Strategy Reviews, 2023 Logarithmic Mean Divisia Index Decomposition Analysis (IDA-LMDI) is a widely used statistical technique in the engineering, economics, energy, and environmental sciences. The main application of the IDA-LMDI method is to identify the drivers that explain
Juan David Rivera-Niquepa +3 more
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Mathematics, 2022 In this paper, using a criteria for the monotonicity of the quotient of two power series, we present some sharp bounds for a generalized logarithmic operator mean and Heinz operator mean by weighted ones of classical operator ones.
Ling Zhu
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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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