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A modified least squares method: Approximations on the unit circle and on (-1,1)

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Author(s):
Ribeiro, LuanaL. Silva ; Ranga, A. Sri
Total Authors: 2
Document type: Journal article
Source: Journal of Computational and Applied Mathematics; v. 410, p. 19-pg., 2022-08-15.
Abstract

The main objective in the present manuscript is to consider approximations of functions defined on the unit circle by Laurent polynomials derived from certain combinations of kernel polynomials of orthogonal polynomials on the unit circle. The method that we employ is based on a modification of the least squares method. The modification adopted here simplifies considerably the determinations of the coefficients in the combinations. Numerical examples show that this modified technique still leads to very good approximations. (C)& nbsp;2022 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 17/04358-8 - Applications of functions satisfying certain recurrence relations
Grantee:Luana de Lima Silva Ribeiro
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 20/14244-2 - Orthogonal polynomials 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