##  [Essential Infimum](/essential-infimum) 

  ##  [Essential Infimum](https://puremath.quantumdictionary.io/essential-infimum-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

For a measurable function f, the essential infimum is the largest extended real number m such that f(x) ≥ m for almost every x (i.e., except on a set of measure zero). It provides a greatest lower bound modulo null sets.