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Inversely Symmetric Interpolatory Quadrature Rules |
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| Authors: | E X L de Andrade C F Bracciali A Sri Ranga |
| Institution: | (1) Departamento de Ciências de Computação e Estatística, IBILCE, Universidade Estadual Paulista (UNESP), 15054-000 São José do Rio Preto, SP, Brazil. e-mail;(2) Departamento de Ciências de Computação e Estatística, IBILCE, Universidade Estadual Paulista (UNESP), 15054-000 São José do Rio Preto, SP, Brazil. e-mail;(3) Departamento de Ciências de Computação e Estatística, IBILCE, Universidade Estadual Paulista (UNESP), 15054-000 São José do Rio Preto, SP, Brazil. e-mail |
| Abstract: | 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. |
| Keywords: | quadrature rules orthogonal polynomials orthogonal Laurent polynomials symmetric distributions |
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