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