essential supremum

noun

The supremum (least upper bound) of a function which holds almost everywhere. In symbols, ess sup f= inf M:μ(x:f(x)>M)=0

Opposite
essential infimum
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Meanings

nounessential supremum (plural essential suprema)

plural essential suprema

  1. mathematical analysisThe supremum (least upper bound) of a function which holds almost everywhere. In symbols, ess sup f= inf M:μ(x:f(x)>M)=0

Synonyms & antonyms

antonym(s) of “supremum valid almost everywhere”

Opposite
essential infimum
Cite this entry
APA

essential supremum. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/essential%20supremum

MLA

“essential supremum.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/essential%20supremum. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “essential supremum,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/essential%20supremum.

Source: essential supremum on Wiktionary, CC BY-SA 4.0.