Beginner2022-03-31Added 12 answers
For the following is true.
The equality occurs for example, for
By the way, and by the given.
Also, for we can use Holder here:
Beginner2022-04-01Added 14 answers
(Compare A Quadratic With Positive Coefficients or Inequalities with polynomials on AoPS). Any polynomial f with real positive coefficients satisfies
for positive numbers . That is a consequence of the generalized Holder inequality, alternatively one can prove that is convex and apply Jensen's inequality.
In our case is and , so that .
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