claudiocamera
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Hi there,
Here comes another one that is making my mind colapse.
Show that , if Xi≥0, i = 1,2...n , then:
1/nΣXi ≥ (ΠXi)^1/n), Π represents the product of Xi's.
In other words , show that the arithmetical mean for a set of nonnegative numbers is always greater than their geometrical mean.
Clue: Consider the problem:
Minimize ΣXi subject to ΠXi =c where c is a constant and Xi ≥0 with i = 1,2...n
Here comes another one that is making my mind colapse.
Show that , if Xi≥0, i = 1,2...n , then:
1/nΣXi ≥ (ΠXi)^1/n), Π represents the product of Xi's.
In other words , show that the arithmetical mean for a set of nonnegative numbers is always greater than their geometrical mean.
Clue: Consider the problem:
Minimize ΣXi subject to ΠXi =c where c is a constant and Xi ≥0 with i = 1,2...n