If f is convex on R F(x1 - x2 + x3) f(x1) - f(x2) + f(x3)

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If f is convex on R
F(x1 - x2 + x3) ≤ f(x1) - f(x2) + f(x3)
for every x1 ≤ x2 ≤ x3 ∈ R. The inequality is strict if f is strictly convex and reversed if f is concave.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:41 AM

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If f is convex on R F(x1 - x2 + x3) f(x1) - f(x2) + f(x3)

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If 1 3 the inequality is trivially satisfied Now assume 1 3 Since 2 1 3 there exists 0 1 ...View the full answer

Foundations of Mathematical Economics

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