Multiple Orthogonality in the Space of Trigonometric Polynomials of Semi-Integer Degree

被引：1

作者：

Stanic, Marija P. ^{[1
]}

Tomovic, Tatjana V. ^{[1
]}

机构：

[1] Univ Kragujevac, Fac Sci, Dept Math & Informat, Kragujevac, Serbia

来源：

FILOMAT | 2015年 / 29卷 / 10期

关键词：

Multiple orthogonal trigonometric polynomials; recurrence relations; optimal set of quadrature rules;

D O I：

10.2298/FIL1510227S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider multiple orthogonal trigonometric polynomials of semi-integer degree, which are necessary for constructing of an optimal set of quadrature rules with an odd number of nodes for trigonometric polynomials in Borges' sense [Numer. Math. 67 (1994) 271-288]. We prove that such multiple orthogonal trigonometric polynomials satisfy certain recurrence relations and present numerical method for their construction, as well as for construction of mentioned optimal set of quadrature rules. Theoretical results are illustrated by some numerical examples.

引用

页码：2227 / 2237

页数：11

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