Let f be defined on I := (a, b) and assume that f satisfies the Lipschitz condition

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Let f be defined on I := (a, b) and assume that f satisfies the Lipschitz condition |f(x) - f(y)| < K|x - y| for all x, y in I. If Pn is the partition of I into n equal parts, show that 0 < U (f; Pn) - ∫ba f < K(b - a)2/n:

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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: Apr 07, 2016 11:06 AM

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Let f be defined on I := (a, b) and assume that f satisfies the Lipschitz condition

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Introduction to Real Analysis

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