ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS

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  • M. A. Bokhari1,
  • H. Al-Attas1,
  1. KFUPM, Dhahran Saudi Arabia Deptartment of Mathematics & Statatistic

Revised: 12-04-2016

Accepted: 12-04-2016

Published in Issue 22-12-2011

How to Cite

Bokhari, M. A., & Al-Attas, H. (2011). ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS. International Journal of Mathematical Modelling & Computations, 1(1), 9-14. https://oiccpress.com/ijm2c/article/view/11030

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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