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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Quadrature rules from a R-II type recurrence relation and associated quadrature rules on the unit circle

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Author(s):
Bracciali, Cleonice F. [1] ; Pereira, Junior A. [1] ; Ranga, A. Sri [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Paulista, UNESP, IBILCE, Dept Matemat Aplicada, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: NUMERICAL ALGORITHMS; v. 83, n. 3, p. 1029-1061, MAR 2020.
Web of Science Citations: 0
Abstract

We consider the theoretical and numerical aspects of the quadrature rules associated with a sequence of polynomials generated by a special R-II recurrence relation. We also look into some methods for generating the nodes (which lie on the real line) and the positive weights of these quadrature rules. With a simple transformation, these quadrature rules on the real line also lead to certain positive quadrature rules of highest algebraic degree of precision on the unit circle. This way, we also introduce new approaches to evaluate the nodes and weights of these specific quadrature rules on the unit circle. (AU)

FAPESP's process: 17/12324-6 - Orthogonal polynomials on the unit circle and related studies
Grantee:Alagacone Sri Ranga
Support Opportunities: Regular Research Grants
FAPESP's process: 16/09906-0 - Harmonic analysis, approximation theory and applications
Grantee:Dimitar Kolev Dimitrov
Support Opportunities: Research Projects - Thematic Grants