ORTHOGONAL ZERO INTERPOLANTS AND APPLICATIONS
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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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Journal title
volume 1 issue 1 (WINTER)
pages 9- 14
publication date 2011-12-22
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