ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS

International Journal of Mathematical Modelling & Computations

مقاله 2، دوره 1، 1 (WINTER)، فروردین 2011، صفحه 9-14   

نویسندگان

M. A. Bokhari؛ H. Al-Attas

KFUPM, Dhahran Saudi Arabia Deptartment of Mathematics & Statatistic

چکیده

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 3-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.

کلیدواژه‌ها

Ortogonal zero interpolant؛ 3-term recurrence relation؛ constrained least squares approximation؛ Parseval equality؛ Jacobi matrix؛ Gauss-Radau/Lobatto rules