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The Turning-Values of a Cubic Function and the nature of the roots of a Cubic Equation

Published online by Cambridge University Press:  20 January 2009

P. Pinkerton
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The first part of this paper depends on the theorem that if a, b, c are three positive quantities such that

then abc is a maximum when a=b=c; with the corollary that if a, b, c are three negative quantities such that

then abc is a minimum when a = b = c.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , February 1903 , pp. 86 - 89
Copyright
Copyright © Edinburgh Mathematical Society 1903