- #1
Mathmos6
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Homework Statement
How do I show that if [tex]f\in C^2 \text{(}\mathbb{R}\text{)}[/tex] is convex then the function [tex]yf(y^{-1}\textbf{x})[/tex] is convex on (x,y):y>0?
Homework Equations
I know the standard definitions and whatnot about convexity, but I tried chugging through the algebra and didn't have any luck, can anyone show me a nice way to solve this?
Thanks!
-Mathmos6