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1. Suppose that f: R→ R is convex. Show that 1 1 1 det (f(x) 5(4) 1 (2) 20 for all r

1. Suppose that f: R→ R is convex. Show that 1 1 1 det (f(x) 5(4) 1 (2) 20 for all r

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Suppose that f: R→ R is convex. Show that 1 1 V I y f(x) f(y) f(z) det for all z <y<z. I (Hint: consider problem 3.1 (a).) 1/11/20 >0
Transcribed Image Text:4. Suppose that f: R→ R is convex. Show that 1 1 V I y f(x) f(y) f(z) det for all z <y<z. I (Hint: consider problem 3.1 (a).) 1/11/20 >0
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