Results 1 to 10 of about 185,563 (292)
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 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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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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The Logarithmic Mean Revisited [PDF]
The American Mathematical Monthly, 2019 We present a simple method for establishing several inequalities relating to logarithmic means.
Jameson, G., Mercer, P.R.
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Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators
Mathematics, 2023 This article examines the issue of population mean estimation utilizing past and present data in the form of an exponentially weighted moving average (EWMA) statistic under simple random sampling (SRS).
Shashi Bhushan +3 more
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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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The logarithmic mean is a mean
Mathematical Communications, 1997 The fact that the logarithmic mean of two positive numbers is a mean, that is, that it lies between those two numbers, is shown to have a number of consequences.
Mond, B. +2 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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