A differentiable functional f on an open, convex set S is convex if and only if for every x, x0 S f is strictly convex if and only if for every x x0 S XO f() f(0) Df 0 ( )...

Suppose is convex For any x x 0 let x 1 x 0 x 1 x 0 for ...

A differentiable functional f on an open, convex set S is convex if and only if for

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A differentiable functional f on an open, convex set S is convex if and only if

for every x, x0 ˆˆ S. f is strictly convex if and only if

for every x ‰ x0 ˆˆ S.

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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 11:52 AM

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A differentiable functional f on an open, convex set S is convex if and only if for

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XO f(х) > f(х0) + Df \х0] (х — хо)

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Foundations of Mathematical Economics

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