|
Previous Article
Next Article
Contents of this Issue
Other Issues
ELibM Journals
ELibM Home
EMIS Home
Pick a mirror
|
|
TRIGONOMETRIC MULTIPLE ORTHOGONAL POLYNOMIALS OF SEMI-INTEGER DEGREE AND
THE CORRESPONDING QUADRATURE FORMULAS
Gradimir V. Milovanovic, Marija P. Stanic, and Tatjana V. Tomovic
Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia and Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Kragujevac, Serbia
Abstract: An optimal set of quadrature formulas with an odd number of nodes for trigonometric polynomials in Borges' sense [Numer. Math. 67 (1994), 271–288], as well as trigonometric multiple orthogonal polynomials of semi-integer degree are defined and studied. The main properties of such a kind of orthogonality are proved. Also, an optimal set of quadrature rules is characterized by trigonometric multiple orthogonal polynomials of semi-integer degree. Finally, theoretical results are illustrated by some numerical examples.
Classification (MSC2000): 42C05; 65D32
Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 30 Oct 2014.
This page was last modified: 24 Nov 2014.
© 2014 Mathematical Institute of the Serbian Academy of Science and Arts
© 2014 FIZ Karlsruhe / Zentralblatt MATH for
the EMIS Electronic Edition
|
Publications de l'Institut Mathématique, Nouvelle Série