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
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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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.
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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