The Australian Journal of Mathematical Analysis and Applications


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ISSN 1449-5910  

 

Paper Information

Paper Title:

A New Property of General Means of Order p with an Application to the Theory of Economic Growth

Author(s):

Olivier de La Grandville

 Department of Management Science and Engineering,
Huang Engineering Center, Stanford University,
475 Via Ortega, Stanford, California 94305
U.S.A.

lagrandvil@aol.com

 

Abstract:

The purpose of this note is to demonstrate a new property of the general mean of order p of m ordered positive numbers . If p < 0 and if , the elasticity of with respect to xm, defined by , tends towards zero, and therefore . This property is then applied to optimal growth theory.

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