##  [P-Variation](/p-variation) 

  ##  [P-Variation](https://puremath.quantumdictionary.io/p-variation-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a real exponent p>0, the p-variation of a function on an interval is the supremum over all finite partitions of the sums of the pth powers of the absolute increments; it quantifies roughness with a parameter p that weights small and large jumps differently.