Mathematics, 20.09.2019 19:30 tutyfruity29
Show that the sum of two concave functions is concave. is the product of two concave functions also concave?
Answers: 1
and 
![(fg)( (1-a)x + \lambda y )= f( (1-\lambda)x + \lambda y )g( (1-\lambda)x + \lambda y ) \geq [(1-a)f(x) + \lambda f(y)] [(1-\lambda)g(x) + \lambda g(y)] = (1-\lambda)^2 f(x)g(x) + \lambda (1-\lambda) f(x)g(y)+ \lambda (1-\lambda) f(y)g(x)+ \lambda ^2 f(y)g(y) \neq (1-\lambda)f(x)g(x) + \lambda f(y)g(y)](/tpl/images/0247/1178/f4a46.png)
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Show that the sum of two concave functions is concave. is the product of two concave functions also...
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