
The numbers {mvar|p} and {mvar|q} above are said to be Hölder conjugates of each other. The special case {math|p {{=} q {=} 2}} gives a form of the Cauchy–Schwarz inequality. Hölder`s inequality holds even if {math|{{!!}fg{!!}1}} is infinite, the right-hand side also being infinite in that case. Conversely, if {mvar|f} is in {math|Lp(....
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http://en.wikipedia.org/wiki/Hölder`s_inequality
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