Kernel polynomials from L-orthogonal polynomials
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
27/05/2014
27/05/2014
01/05/2011
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Resumo |
A positive measure ψ defined on [a,b] such that its moments μn=∫a btndψ(t) exist for n=0,±1,±2,⋯, is called a strong positive measure on [a,b]. If 0≤a<b≤∞ then the sequence of (monic) polynomials {Qn}, defined by ∫a bt-n+sQn(t)dψ(t)=0, s=0,1,⋯,n-1, is known to exist. We refer to these polynomials as the L-orthogonal polynomials with respect to the strong positive measure ψ. The purpose of this manuscript is to consider some properties of the kernel polynomials associated with these L-orthogonal polynomials. As applications, we consider the quadrature rules associated with these kernel polynomials. Associated eigenvalue problems and numerical evaluation of the nodes and weights of such quadrature rules are also considered. © 2010 IMACS. Published by Elsevier B.V. All rights reserved. |
Formato |
651-665 |
Identificador |
http://dx.doi.org/10.1016/j.apnum.2010.12.006 Applied Numerical Mathematics, v. 61, n. 5, p. 651-665, 2011. 0168-9274 http://hdl.handle.net/11449/72397 10.1016/j.apnum.2010.12.006 2-s2.0-79751525870 2-s2.0-79751525870.pdf |
Idioma(s) |
eng |
Relação |
Applied Numerical Mathematics |
Direitos |
openAccess |
Palavras-Chave | #Eigenvalue problems #Kernel polynomials #Orthogonal Laurent polynomials #Quadrature rules #Eigenvalue problem #L-orthogonal polynomials #Numerical evaluations #Orthogonal Laurent polynomial #Eigenvalues and eigenfunctions #Orthogonal functions #Polynomials |
Tipo |
info:eu-repo/semantics/article |