Assume that is a continuous real function on (a, b) such that 1 1 o ( x + ³) ≤ ²}/20 (x) + = 0 ( for all x and ye (a, b). Prove that is convex. Φ
Assume that is a continuous real function on (a, b) such that 1 1 o ( x + ³) ≤ ²}/20 (x) + = 0 ( for all x and ye (a, b). Prove that is convex. Φ
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 14BEXP
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![Assume that is a continuous real function on (a, b) such that
√(x + ³) = 1/2 φ(x) + = φ(y)
1 /
12
for all x and y € (a, b). Prove that is convex.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F273ec8f3-a500-4d53-928c-1bf12879bfdd%2Fe6442855-dd7b-4d7c-b2e4-268d0c1a815d%2F91d86oi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Assume that is a continuous real function on (a, b) such that
√(x + ³) = 1/2 φ(x) + = φ(y)
1 /
12
for all x and y € (a, b). Prove that is convex.
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