Geodesic
Trigonometric Multiple Orthogonal Polynomials of Semi-integer Degree and the Corresponding Quadrature Formulas
Publications de l'Institut Mathématique, _N_S_96 (2014) no. 110, p. 211

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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 : 42C05 65D32 
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     title = {Trigonometric {Multiple} {Orthogonal} {Polynomials} of {Semi-integer} {Degree} and the {Corresponding} {Quadrature} {Formulas}},
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Gradimir V. Milovanović; Marija P. Stanić; Tatjana V. Tomović. Trigonometric Multiple Orthogonal Polynomials of Semi-integer Degree and the Corresponding Quadrature Formulas. Publications de l'Institut Mathématique, _N_S_96 (2014) no. 110, p. 211 . http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a15/