Resumen de Finding the best quadratic approximation of a function
This article examines the question of finding the best quadratic function to approximate a given function on an interval. The prototypical function considered is f(x)?=?ex. Two approaches are considered, one based on Taylor polynomial approximations at various points in the interval under consideration, the other based on the fact that three non-collinear points determine a unique quadratic function. Three different techniques for measuring the error in the approximations are considered.
