Suppose that F: {a, b) R is continuous and D2F(x) > 0 for all x

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Suppose that F: {a, b) → R is continuous and D2F(x) > 0 for all x ∈ (a, b). Prove that F is convex on (a, b).

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:30 AM

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Suppose that F: {a, b) R is continuous and D2F(x) > 0 for all x

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Suppose F is not convex Then there exist points a c x d b such that fx lies above the chord t...View the full answer

An Introduction to Analysis

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