Anti-Gaussian quadrature rule for trigonometric polynomials-Reference-Cited by-同舟云学术

Anti-Gaussian quadrature rule for trigonometric polynomials

Published:2022 Issue:3 Volume:36 Page:1005-1019
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Petrovic Nevena¹^ORCID,Stanic Marija¹^ORCID,Tomovic-Mladenovic Tatjana¹^ORCID

Affiliation:

1. University of Kragujevac, Faculty of Science, Department of Mathematics and Informatics, Kragujevac, Serbia

Abstract

In this paper, anti-Gaussian quadrature rules for trigonometric polynomials are introduced. Special attention is paid to an even weight function on [-?, ?). 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.

Funder

Ministry of Education, Science and Technological Development of the Republic of Serbia

Publisher

National Library of Serbia

Subject

General Mathematics

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