Anti-Gaussian Quadrature Rule for Trigonometric Polynomials

被引：2
|
作者：
Petrovic, Nevena Z. [1 ]
Stanic, Marija P. [1 ]
Mladenovic, Tatjana V. Tornovic [1 ]
机构：
[1] Univ Kragujevac, Fac Sci, Dept Math & Informat, Radoja Domanovica 12, Kragujevac 34000, Serbia
来源：
FILOMAT | 2022年 / 36卷 / 03期
关键词：
anti-Gaussian quadrature rules; recurrence relation; averaged Gaussian formula; UNITARY; ALGORITHM;
D O I：
10.2298/FIL2203005P
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, anti-Gaussian quadrature rules for trigonometric polynomials are introduced. Special attention is paid to an even weight function on [-pi, pi). The main properties of such quadrature rules are proved and a numerical method for their construction is presented. That method is based on relations between nodes and weights of the quadrature rule for trigonometric polynomials and the quadrature rule for algebraic polynomials. Some numerical examples are included. Also, we compare our method with other available methods.
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页码：1005 / 1019
页数：15
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