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Proof without Words: The Arithmetic-Logarithmic-Geometric Mean Inequality

It is shown that (b - a)/(ln b - ln a) fits between the arithmetic and geometric mean.
Old Node ID: 
1885
MSC Codes: 
Author(s): 
Roger B. Nelsen
Publication Date: 
Monday, June 9, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
October, 1995
Subject(s): 
Inequalities
Algebra
Algebra and Number Theory
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Publish Page: 
Furnished by JSTOR: 
Author (old format): 
Roger B. Nelsen
Applicable Course(s): 
4.11 Advanced Calc I, II, & Real Analysis
Modify Date: 
Tuesday, July 22, 2008
Average: 2.8 (19 votes)

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