Often you know something about a function, such as its values at certain points or on certain intervals,and want to know its values elsewhere.
The problem of estimating values from partial information is usually called that of interpolation.
29.1 Problems and General Approach
29.2 Pedestrian Approach to Solutions
29.3.1 Solution to Second Problem: Polynomial passing through k points
29.3.2 Solution to First Problem: filling a gap between two curves smoothly
29.5 Least Squares Polynomial Fit to Data
29.5.3 The Equations
29.5.4 Solution for k = 1