Gaussian interval quadrature formula

Authors
Bojanov, BD Petrov, PP
Citation
Bd. Bojanov et Pp. Petrov, Gaussian interval quadrature formula, NUMER MATH, 87(4), 2001, pp. 625-643
Citations number
17
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
87
Issue
4
Year of publication
2001
Pages
625 - 643
Database
ISI
SICI code
0029-599X(200102)87:4<625:GIQF>2.0.ZU;2-7
Abstract
We prove the existence of a Gaussian quadrature formula for Tchebycheff sys tems, based on integrals over non-overlapping subintervals of arbitrary fix ed lengths and the uniqueness of this formula in the case the subintervals have equal lengths.