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Bounds of logarithmic mean

open access: yesBounds of logarithmic mean
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Generalized Logarithmic Operator Means

open access: yesGeneralized Logarithmic Operator Means
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Logarithmic Mean of Multiple Accretive Matrices

Bulletin of the Iranian Mathematical Society, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenhui Luo
semanticscholar   +3 more sources

Logarithmic mean of positive invertible operators

Banach Journal of Mathematical Analysis, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
B. Choi, Sejong Kim
semanticscholar   +3 more sources

The logarithmic mean

Resonance, 2008
The inequality between the arithmetic mean (AM) and geometric mean (GM) of two positive numbers is well known. This article introduces the logarithmic mean, shows how it leads to refinements of the AM-GM inequality. Some applications and properties of this mean are shown. Some other means and related inequalities are discussed.
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Power and logarithmic means [PDF]

open access: possible, 2014
The article consists of two parts. The first part deals with quasi-arithmetic means and convex functions. In the second part, using quasi-arithmetic means, we perform power and logarithmic means of two positive numbers. Such well-known means are arithmetic, geometric, harmonic, logarithmic and identric.
Pavić, Zlatko   +2 more
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Functional Equations Involving the Logarithmic Mean

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1996
AbstractThe paper deals with some recent results concerning a functional equation involving the logarithmic mean which occurs in a heat conduction problem. By reinterpreting the functional equation in an alternative way, nontrivial solution can be found.
Kahlig, P., Matkowski, J.
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Logarithmic Mean Divisia Index (LMDI) decomposition analysis of changes in agricultural water use: a case study of the middle reaches of the Heihe River basin, China

Agricultural Water Management, 2018
To quantitatively analyze the main driving factors of agricultural water use in different stages in the middle reaches of the Heihe River basin, the Logarithmic Mean Divisia Index (LMDI) decomposition method was employed to calculate the contribution of ...
Shulin Zhang   +4 more
semanticscholar   +1 more source

Powerful Meanings for Logarithms

The Mathematics Teacher, 2017
Support student reasoning by supplementing a common but problematic meaning for logarithms.
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