Force of mortality: Difference between revisions

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In [[mathematics]], two [[real number]]s  <math>p, q>1</math> are called '''conjugate indices''' if
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: <math>\frac{1}{p} + \frac{1}{q} = 1.</math>
 
Formally, we will also define  <math>q = \infty</math> as conjugate to <math>p=1</math> and [[List of Latin phrases: V#vice versa|vice versa]].  
 
Conjugate indices are used in [[Hölder's inequality]]. Also, if <math>p, q>1</math> are conjugate indices, the spaces ''L''<sup>''p''</sup> and ''L''<sup>''q''</sup> are [[dual space|dual]] to each other (see [[Lp space|''L''<sup>''p''</sup> space]]).  
 
==See also==
* [[Beatty's theorem]]
 
==References==
* A B Antonevich, ''Linear Functional Equations'', Birkhäuser, 1999. ISBN 3-7643-2931-9.
 
{{PlanetMath attribution|id=2051|title=Conjugate index}}
 
[[Category:Functional analysis]]

Latest revision as of 18:24, 15 February 2014

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