ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS
الموضوعات : فصلنامه ریاضیM. A. Bokhari 1 , H. Al-Attas 2
1 - KFUPM, Dhahran
Saudi Arabia
Deptartment of Mathematics & Statatistic
2 - KFUPM, Dhahran
Saudi Arabia
Deptartment of Mathematics & Statatistic
الکلمات المفتاحية: Ortogonal zero interpolant, 3-term recurrence relation, constrained least squares approximation, Parseval equality, Jacobi matrix, Gauss-Radau/Lobatto rules,
ملخص المقالة :
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.
