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A Note on the Logarithmic Mean

The American Mathematical Monthly, 2016
(2016). A Note on the Logarithmic Mean. The American Mathematical Monthly: Vol. 123, No. 1, pp. 112-112.
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On the logarithmic mean profile

Journal of Fluid Mechanics, 2009
Elements of the first-principles-based theory of Weiet al. (J. Fluid Mech., vol. 522, 2005, p. 303), Fifeet al. (Multiscale Model. Simul., vol. 4, 2005a, p. 936;J. Fluid Mech., vol. 532, 2005b, p. 165) and Fife, Klewicki & Wei (J. Discrete Continuous Dyn. Syst., vol. 24, 2009, p.
Klewicki, J., Fife, P., Wei, T.
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The Power Mean and the Logarithmic Mean

The American Mathematical Monthly, 1974
(1974). The Power Mean and the Logarithmic Mean. The American Mathematical Monthly: Vol. 81, No. 8, pp. 879-883.
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Complementaries of Greek Means with Respect to the Logarithmic Mean

2008 10th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2008
The mean N is the complementary of the mean M with respect to the mean P if P(M, N) = P. We study the complementaries of Greek means with respect to the logarithmic mean. We look after the complementary of a mean in some families of means. Most of the computations are performed with the symbolic capabilities of the Maple computer algebra system.
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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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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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A replacement for the logarithmic mean

Chemical Engineering Science, 1984
Abstract A new mean has been developed as an approximation to the logarithmic mean. It may be viewed as a refinement of the arithmetic mean: the latter has been a useful approximation in economic analysis [5,6], whilst the new mean should find use both in flowsheeting programs and in rapid rating calculations a in the example above.
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Harmonic, Logarithmic, and Arithmetic Means and Corollaries

The American Mathematical Monthly, 2020
For two positive real numbers a and b, their harmonic, logarithmic, and arithmetic means are respectively defined by H(a,b)=21a+1b=2aba+b,L(a,b)=b−a ln b− ln a , and A(a,b)=a+b2 .Theorem.
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Powerful Meanings for Logarithms

The Mathematics Teacher, 2017
Support student reasoning by supplementing a common but problematic meaning for logarithms.
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Mean oscillations of the logarithmic function

Ricerche di Matematica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Didenko, Victor D.   +2 more
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