Oct 10, 2010 #1 M medanisse Newbie level 6 Joined Sep 29, 2010 Messages 14 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,281 Activity points 1,398 hello can you help me prove this inequality : a, b, c and s are positive real if s≥1 then (a+b+c)^s≤(a^s+b^s+c^s)3^(s-1)
hello can you help me prove this inequality : a, b, c and s are positive real if s≥1 then (a+b+c)^s≤(a^s+b^s+c^s)3^(s-1)
Oct 20, 2010 #2 M mwinthrop Newbie level 1 Joined Oct 20, 2010 Messages 1 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,281 Activity points 1,283 Use Jensen's Inequality; look it up on wikipedia.