Bernstein Polynomials are a type of polynomial used in approximation theory, particularly for approximating continuous functions. They are defined using a specific formula that combines the values of a function at certain points, weighted by binomial coefficients. This method ensures that the approximating polynomial remains within the range of the function being approximated. These polynomials are particularly useful because they converge uniformly to the function they approximate as the degree of the polynomial increases. This property makes Bernstein Polynomials a valuable tool in numerical analysis and computer graphics, where smooth and accurate representations of functions are essential.