##  [Hölder's Inequality](/holders-inequality) 

  ##  [Hölder's Inequality](https://puremath.quantumdictionary.io/holders-inequality-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An inequality that bounds the integral (or sum) of the product of two measurable functions by the product of their L^p and L^q norms when the exponents p and q are conjugate (1/p + 1/q = 1).