You are here

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

by Roger B. Nelsen

This article originally appeared in:
Mathematics Magazine
October, 1995

Subject classification(s): Inequalities | Algebra | Algebra and Number Theory
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis

It is shown that (b - a)/(ln b - ln a) fits between the arithmetic and geometric mean.

A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.

To open this file please click here.

These pdf files are furnished by JSTOR.

Classroom Capsules would not be possible without the contribution of JSTOR.

JSTOR provides online access to pdf copies of 512 journals, including all three print journals of the Mathematical Association of America: The American Mathematical Monthly, College Mathematics Journal, and Mathematics Magazine. We are grateful for JSTOR's cooperation in providing the pdf pages that we are using for Classroom Capsules.

Average: 3.2 (25 votes)