2004•Journal of Chengdu Textile CollegeRequires access

On the Equivalence of Several Integral Limit Theorems in Real Variable Functions Theory

Changhui Wang

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Abstract

Three integral limit theorems,i e., Control Convergence theorem, Levi Lemma and Fatou Lemma in real variable functions are studied and proved, which concludes that the three are equivalent actually.

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What this paper is about

Three integral limit theorems,i e., Control Convergence theorem, Levi Lemma and Fatou Lemma in real variable functions are studied and proved, which concludes that the three are equivalent actually.

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Available abstract

Three integral limit theorems,i e., Control Convergence theorem, Levi Lemma and Fatou Lemma in real variable functions are studied and proved, which concludes that the three are equivalent actually.

Key concepts: Mathematics, Equivalence (formal languages), Limit (mathematics), Variable (mathematics), Calculus (dental), Applied mathematics, Mathematical analysis, Pure mathematics

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