Vitali Convergence Theorem
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High Quality Content by WIKIPEDIA articles! In mathematics, the Vitali convergence theorem is a generalization of the better-known dominated convergence theorem of Henri Lebesgue. It is useful when a dominating function cannot be found for the sequence of functions in question; when such a dominating function can be found, Lebesgue's theorem follows as a special case of Vitali's. The result is named after the Italian mathematician Giuseppe Vitali. Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth…mehr

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High Quality Content by WIKIPEDIA articles! In mathematics, the Vitali convergence theorem is a generalization of the better-known dominated convergence theorem of Henri Lebesgue. It is useful when a dominating function cannot be found for the sequence of functions in question; when such a dominating function can be found, Lebesgue's theorem follows as a special case of Vitali's. The result is named after the Italian mathematician Giuseppe Vitali. Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.