ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS

Orthogonal zero interpolants (OZI) are polynomials which interpolate the “zero-function” at a finite number of pre-assigned nodes and satisfy orthogonality condition. OZI’s can be constructed by the ۳-term recurrence relation. These interpolants are found useful in the solution of constrained approximation problems and in the structure of Gauss-type quadrature rules. We present some theoretical and computational aspects of OZI’s and also discuss their structure and significance at the multiple nodes.

کلیدواژه ها:

Ortogonal zero interpolant ، ۳-term recurrence relation ، constrained least squares approximation ، Parseval equality ، Jacobi matrix ، Gauss-Radau/Lobatto rules