Essential infimum

Noun

Definitions

1.NounThe infimum (greatest lower bound) of a function which holds almost everywhere. In symbols, e s s inf f = sup { m : μ ( { x : f ( x ) < m } ) = 0 } {\displaystyle \mathrm {ess} \inf f=\sup\{m:\mu (\{x:f(x)<m\})=0\}} .

Synonyms

essential supremum infimum limit inferior filter minimum supremum global minimum closed interval maximum lower limit extremum upper limit

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