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What is Inequalities of Karnata Schur and Murihead about?

This article proves three classical inequalities—Karamata, Schur, and Muirhead—and discusses their applications in mathematical competitions, including examples from the International Mathematical Olympiads. It also covers related inequalities such as Petrović and Steffensen, and provides various problems and solutions demonstrating the use of these inequalities. The document serves as a resource for students preparing for mathematical competitions.

Author

Bhuvanesh Nallapati

Language

EN