Inversely Symmetric Interpolatory Quadrature Rules

We consider interpolatory quadrature rules with nodes and weights satisfying symmetric properties in terms of the division operator. Information concerning these quadrature rules is obtained using a transformation that exists between these rules and classical symmetric interpolatory quadrature rules...

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Bibliographic Details
Published in:Acta applicandae mathematicae 2000-05, Vol.61 (1-3), p.15
Main Authors: E. X. L. de Andrade, Bracciali, C F, A. Sri Ranga
Format: Article
Language:English
Subjects:
Mathematics
Polynomials
Studies
Theory
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Summary:We consider interpolatory quadrature rules with nodes and weights satisfying symmetric properties in terms of the division operator. Information concerning these quadrature rules is obtained using a transformation that exists between these rules and classical symmetric interpolatory quadrature rules. In particular, we study those interpolatory quadrature rules with two fixed nodes. We obtain specific examples of such quadrature rules. [PUBLICATION ABSTRACT]
ISSN:0167-8019
1572-9036
DOI:10.1023/A:1006403308900