About this document
Three-Variable Inequalities and Identities by Lucian Lazar is a document available to read on EtoBox.
The document contains three examples of solving cyclic inequalities involving three non-negative real numbers a, b, c. The first example proves the inequality a2b + b2c + c2a ≤ 4 using identities involving the sums p = a + b + c, q = ab + bc + ca, and r = abc. The second example proves a more complex inequality using a similar approach. The third example finds the greatest constant k such that a given 4th degree inequality holds for any non-negative a, b, c.
- Author
- Lucian Lazar
- Language
- EN