# Journal of Online Mathematics and Its Applications

Volume 6. December 2006. Article ID 1316

# The Chebyshev Equioscillation Theorem

## Robert Mayans

## Contents

- Introduction
- The Weierstrass approximation theorem
- The polynomial of best approximation
- Alternating sets
- Lower bounds on the minimax error
- Sectioned alternating sets
- Improving the approximation
- Proof of the theorem
- Finding the minimizing polynomial
- Notes and resources