2004•Journal of Xi'an United UniversityRequires access

Proof of Егоров Theorem's Inverse Theorem

Xiaoxia Shi

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Abstract

Proof of Егоров theorem's inverse theorem is given. It is pointed out if mE+∞, almost everywhere convergence is equivalent to almost uniform convergence.

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Proof of Егоров theorem's inverse theorem is given. It is pointed out if mE+∞, almost everywhere convergence is equivalent to almost uniform convergence.

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Available abstract

Proof of Егоров theorem's inverse theorem is given. It is pointed out if mE+∞, almost everywhere convergence is equivalent to almost uniform convergence.

Key concepts: Mathematics, Inverse, Danskin's theorem, Brouwer fixed-point theorem, Fundamental theorem, Calculus (dental), Discrete mathematics, Fixed-point theorem

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