2. Prove the following implication: strong convexity → strict convexity → convexity. Is the converse of either implication is true? Why?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 39E
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2. Prove the following implication: strong convexity ⇒ strict convexity →
convexity. Is the converse of either implication is true? Why?
Transcribed Image Text:2. Prove the following implication: strong convexity ⇒ strict convexity → convexity. Is the converse of either implication is true? Why?
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