Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-10T09:22:54.491Z Has data issue: false hasContentIssue false
  • English
  • Français

On the Arithmetic and Geometric Means Inequality

Published online by Cambridge University Press:  20 January 2009

V. Ramaswami Aiyar
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let a and b be positive and unequal; and let x be their arithmetic mean. Then we have the following equality and inequality

The inequality is tantamount to the fact that the G.M. of a and b is less than the A.M.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 25 , February 1906 , pp. 46 - 47
Copyright
Copyright © Edinburgh Mathematical Society 1906