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 makes them useful for creating smooth curves that closely follow the shape of the original function. These polynomials are particularly notable for their properties related to uniform convergence and continuity. As the degree of the polynomial increases, the approximation becomes more accurate, allowing for effective representation of functions on a closed interval. This makes Bernstein polynomials a valuable tool in numerical analysis and computer graphics.