Homogeneous
A polynomial is said to be homogeneous if all its terms are of the same degree in .
This concept of homogeneity is often used in inequalities so that one can "scale" the terms (this is possible because for some fixed ), and assume things like the sum of the involved variables is , for things like Jensen's Inequality
Problems
Introductory
Intermediate
Olympiad
- Let be positive real numbers. Prove that
(Source)
See Also
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