RT Journal Article
T1 Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
A1 Hermoso, Carlos
A1 Huertas, Edmundo J.
A1 Lastra, Alberto
A1 Marcellán Español, Francisco José
AB It is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and these can be expressed as a (2N + 1)-banded symmetric semi-infinite matrix. In this paper, we state the connection between these (2N + 1)-banded matrices and the Jacobi matrices associated with the three-term recurrence relation satisfied by the standard sequence of orthonormal polynomials with respect to the 2-iterated Christoffel transformation of the measure.
PB Springer
SN 1017-1398
YR 2023
FD 2023-01
LK https://hdl.handle.net/10016/37713
UL https://hdl.handle.net/10016/37713
LA eng
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The work of CH, EJH and AL is supported by Dirección General de Investigación e Innovación, Consejería de Educación e Investigación of the Comunidad de Madrid (Spain), and Universidad de Alcalá under grants CM/JIN/2019-010 and CM/JIN/2021-014, Proyectos de I+D para Jóvenes Investigadores de la Universidad de Alcalá 2019 and 2021, respectively. The work of FM has been supported by FEDER/Ministerio de Ciencia e Innovación-Agencia Estatal de Investigación of Spain, grant PGC2018-096504-B-C33, and the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors, grant EPUC3M23 in the context of the V PRICIT (Regional Programme of Research and Technological Innovation).
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RD 17 jul. 2024