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2012•Mathematica SlovacaOpen access

A new proof of the monotone convergence theorem of Lebesgue integral on σ-class

Dinh Trung Hoa

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Abstract

Abstract In this short note a new proof of the monotone convergence theorem of Lebesgue integral on σ-class is given.

About this research paper

What this paper is about

Abstract In this short note a new proof of the monotone convergence theorem of Lebesgue integral on σ-class is given.

Why it matters

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Method / approach

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Available abstract

Abstract In this short note a new proof of the monotone convergence theorem of Lebesgue integral on σ-class is given.

Key concepts: Dominated convergence theorem, Mathematics, Lebesgue integration, Lebesgue's number lemma, Lebesgue–Stieltjes integration, Monotone polygon, Class (philosophy), Riemann integral

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