Question: Let f1, f2, . . . , fn be nonnegative definite concave functions on a convex set S. The function is quasi concave on S

Let f1, f2, . . . , fn be nonnegative definite concave functions on a convex set S. The function
f(x) = (fi(x)) ((x))*... (f,(x))*

is quasi concave on S for any α1, α2, . . . , αn ˆˆ „œ+.

f(x) = (fi(x)) ((x))*... (f,(x))*

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