Suppose C is a convex set and nonnegative real numbers

| August 30, 2017

Question
3.

Suppose C is a convex set and

nonnegative real numbers such that

xi i1

, then

n

i1

definition of convexity.)

are points in C. Show that if

n

i

1

are

. (This extends our

n

x C
i

i1

i i1
n

i

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