Càlcul de Lagrange (Lagrange polynomial)

The Càlcul de Lagrange, or Lagrange polynomial, is a mathematical method used to estimate a smooth curve passing through a set of known data points. It constructs a polynomial that exactly fits these points by combining special functions called basis polynomials, each associated with one data point. When combined, they produce a single polynomial that agrees with the original data. This technique allows us to interpolate or predict values between known points, providing an approximate model of the data's behavior, useful in fields like engineering, science, and data analysis.