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TRIGONOMETRIC MULTIPLE ORTHOGONAL POLYNOMIALS OF SEMIINTEGER 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 semiinteger 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 semiinteger degree. Finally, theoretical results are illustrated by some numerical examples.
Classification (MSC2000): 42C05; 65D32
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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
