minimax approximation

Minimax approximation is a mathematical method used to find the simplest function that most closely matches a complex one, minimizing the maximum error across a specified range. Think of it as trying to create a single, smooth curve that stays as close as possible to the original function everywhere within a certain interval, preventing large deviations anywhere. This approach is valuable in engineering and computer science for simplifying calculations, designing efficient algorithms, and modeling systems where accuracy and reliability are critical across all inputs.