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An integral which has more general application than that of the Riemann integral, because it allows the region of integration to be partitioned into not just intervals but any measurable sets for which the function to be integrated has a sufficiently narrow range.
Definition source: English Wiktionary via Wiktextract
Usage: singular, singular-only
Topics: mathematical-analysis, mathematics, sciences
Examples
- The Lebesgue integral is learned in a first-year real-analysis course.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Broader terms: integral
The result of the application of the Lebesgue integral
Definition source: English Wiktionary via Wiktextract
Usage: singular, singular-only
Topics: mathematical-analysis, mathematics, sciences
Examples
- Compute the Lebesgue integral of f over E.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
Named after French mathematician Henri Lebesgue.
Across languages
Translations
2 source translations are retained for this English entry.
-
German:
Lebesgue-Integral
— Translations
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Polish:
całka Lebesgue'a
— Translations
