Bokhari, M., Al-Attas, H. (2011). ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS. International Journal of Mathematical Modelling & Computations, 1(1 (WINTER)), 9-14.
M. A. Bokhari; H. Al-Attas. "ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS". International Journal of Mathematical Modelling & Computations, 1, 1 (WINTER), 2011, 9-14.
Bokhari, M., Al-Attas, H. (2011). 'ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS', International Journal of Mathematical Modelling & Computations, 1(1 (WINTER)), pp. 9-14.
Bokhari, M., Al-Attas, H. ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS. International Journal of Mathematical Modelling & Computations, 2011; 1(1 (WINTER)): 9-14.
KFUPM, Dhahran Saudi Arabia Deptartment of Mathematics & Statatistic
Abstract
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.
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