Shepard's method is a multivariate form of this technique which uses inverse-distance weighting.
Shepard's method is a multivariate form of this technique which uses inverse-distance weighting. Bandlimitedfunctions can be constructed as a sum of sinc ("sink") functions using the Whittaker-Shannonformula for doing this. Hermite's method of doing this incorporates derivatives. Chebyshev nodes are usedalongside one method of doing this, which suffers from an oscillatory phenomenon around the interval (*)endpoints; that is Runge's phenomenon. That occurs when using polynomials for this purpose, but can be avoidedby using piecewise functions with smooth knots, known as splines. For 10 points, name this mathematical techniquein which additional points are created inside the bounds of a known set of data points, often contrasted withextrapolation.
Shepard's method is a multivariate form of this technique which uses inverse-distance weighting.
interpolation [prompt on "approximation" or "approximating a function"]