For 10 points, name this technique that constructs new data points within a set of known points.
The Marcinkiewicz theorem concerns this task for nonlinear operators. The WhittakerÂ–Shannon formula for this process uses a sum of sinc functions to perform this task for an infinite number of points. A method of performing this task using a Gaussian process is known as Kriging ("crigg-ing"). It doesn't involve finding areas of polygons, but Brahmagupta's formula for this task incorporates second-order differences, while the (*) nearest-neighbor method for performing this task uses piecewise constant functions. Oscillatory behavior at the endpoints of an interval occurs if this procedure is performed using polynomials; that is Runge's ("ROON-guh's") phenomenon, which can be avoided by using splines. For 10 points, name this technique that constructs new data points within a set of known points.
The Marcinkiewicz theorem concerns this task for nonlinear operators.
interpolation