Approximation by Rational Functions

Approximation by rational functions involves using fractions of polynomials (expressions with a numerator and denominator) to approximate other functions. This technique is useful in mathematics and engineering to simplify complex equations, making them easier to analyze or compute. By finding a rational function that closely matches a target function within a specific range, we can gain insights or make predictions without dealing with the original complexity. This method is widely applied in numerical analysis, control theory, and various fields requiring function modeling and problem-solving.