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Logarithmic mean optimization a metaheuristic algorithm for global and case specific energy optimization [PDF]

open access: yesScientific Reports
This 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
doaj   +3 more sources

Optimal bounds for arithmetic-geometric and Toader means in terms of generalized logarithmic mean [PDF]

open access: yesJournal 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
doaj   +2 more sources

Methodology for selecting assessment periods of Logarithmic Mean Divisia Index decomposition techniques

open access: yesEnergy 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
doaj   +2 more sources

The logarithmic mean of two convex functionals [PDF]

open access: yesOpen 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
doaj   +2 more sources

The power mean and the logarithmic mean [PDF]

open access: yesInternational 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
doaj   +3 more sources

Mean Estimation for Time-Based Surveys Using Memory-Type Logarithmic Estimators

open access: yesMathematics, 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
doaj   +2 more sources

The Logarithmic Mean Revisited [PDF]

open access: yesThe American Mathematical Monthly, 2019
We present a simple method for establishing several inequalities relating to logarithmic means.
G. Jameson, P. R. Mercer
semanticscholar   +3 more sources

Logarithmic estimates for mean-field models in dimension two and the Schrödinger–Poisson system [PDF]

open access: yesComptes 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
doaj   +2 more sources

Best Possible Inequalities between Generalized Logarithmic Mean and Classical Means [PDF]

open access: yesAbstract and Applied Analysis, 2010
We answer the question: for α,β,γ∈(0,1) with α+β+γ=1, what are the greatest value p and the least value q, such that the double inequality Lp(a,b)
Yu-Ming Chu, Bo-Yong Long
doaj   +3 more sources

On a Characterization of the Logarithmic Mean

open access: yesResults in Mathematics
In the present note we are interested in proving the counterpart of the (right-hand side of the) celebrated Hermite–Hadamard inequality for φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb}
Timothy Nadhomi   +2 more
semanticscholar   +3 more sources

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