If f: AR is non-negative and Af = 0, show that B = {x: f (x) 0}

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If f: A→R is non-negative and ∫ Af = 0, show that B = {x: f (x) ≠ 0} has measure 0.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Jan 11, 2010 11:54 PM

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If f: AR is non-negative and Af = 0, show that B = {x: f (x) 0}

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Following the hint let be a positive integer and Let Let be a partition of ...View the full answer

Introduction to Real Analysis

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