BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY

In this paper we show the construction of a polynomial function of degree n: f(x) given previously a set of n points , which will be fixed points of the function. This study addresses the inverse problem in polynomial case; in the classical sense because it is a priori a function; and hence the stud...

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Main Authors: Franco Rubio López, Orlando Hernandez Bracamonte
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2015-07-01
Series:Selecciones Matemáticas
Subjects:
Online Access:http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1201/1129
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author Franco Rubio López
Orlando Hernandez Bracamonte
author_facet Franco Rubio López
Orlando Hernandez Bracamonte
author_sort Franco Rubio López
collection DOAJ
description In this paper we show the construction of a polynomial function of degree n: f(x) given previously a set of n points , which will be fixed points of the function. This study addresses the inverse problem in polynomial case; in the classical sense because it is a priori a function; and hence the study of the existence of fixed points is made. Furthermore the behavior of the fixed points is studied through the analysis of the stability from the use of a parameter.
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spelling doaj.art-80f05116ce8d4f128a77cf8de4f0895e2022-12-21T19:05:53ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832411-17832015-07-01201546710.17268/sel.mat.2015.01.06BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLYFranco Rubio López0https://orcid.org/0000-0002-0168-3806Orlando Hernandez Bracamonte1Departamento de Matemática, Universidad Nacional de Trujillo, Peru. Departamento de Matemática, Universidad Nacional de Trujillo, Peru. In this paper we show the construction of a polynomial function of degree n: f(x) given previously a set of n points , which will be fixed points of the function. This study addresses the inverse problem in polynomial case; in the classical sense because it is a priori a function; and hence the study of the existence of fixed points is made. Furthermore the behavior of the fixed points is studied through the analysis of the stability from the use of a parameter.http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1201/1129polynomialsfixed pointstabilityattractorrepellent
spellingShingle Franco Rubio López
Orlando Hernandez Bracamonte
BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY
Selecciones Matemáticas
polynomials
fixed point
stability
attractor
repellent
title BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY
title_full BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY
title_fullStr BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY
title_full_unstemmed BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY
title_short BUILDING A POLYNOMIAL FUNCTION FROM FIXED POINTS GIVEN PREVIOUSLY
title_sort building a polynomial function from fixed points given previously
topic polynomials
fixed point
stability
attractor
repellent
url http://revistas.unitru.edu.pe/index.php/SSMM/article/view/1201/1129
work_keys_str_mv AT francorubiolopez buildingapolynomialfunctionfromfixedpointsgivenpreviously
AT orlandohernandezbracamonte buildingapolynomialfunctionfromfixedpointsgivenpreviously