Positive Approximation and Interpolation Using Compactly Supported Radial Basis Functions

الملخص EN

We discuss the problem of constrained approximation and interpolation of scattered data by using compactly supported radial basis functions, subjected to the constraint of preserving positivity.

The approaches are presented to compute positive approximation and interpolation by solving the two corresponding optimization problems.

Numerical experiments are provided to illustrate that the proposed method is flexible.