Error estimates for some quadrature rules with maximal trigonometric degree of exactness

Author:

Stanić Marija P.1,Cvetković Aleksandar S.2,Tomović Tatjana V.1

Affiliation:

1. Faculty of Science, Department of Mathematics and Informatics; University of Kragujevac; Radoja Domanovicá 12, 34000 Kragujevac Serbia

2. Faculty of Mechanical Engineering, Department of Mathematics and Informatics; University of Belgrade; Kraljice Marije 16, 11120 Belgrade Serbia

Funder

Serbian Ministry of Education, Science and Technological Development

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference28 articles.

1. On quadrature formulae that are exact for trigonometric polynomials. East J. Approx. 2005; 11:337-359 translation in English from Uchenye Zapiski, Vypusk 1(149);Turetzkii;Seria Mathematical Theory of Functions, Collection of papers, Izdatel'stvo Belgosuniversiteta imeni V.I. Lenina, Minsk,1959

2. Construction of algebraic cubature rules using polynomial ideal theory;Morrow;SIAM Journal on Numerical Analysis,1978

3. Quadrature formulae of the highest trigonometric degree of accuracy;Mysovskikh;Ž. Vyčisl. Mat. i Mat. Fiz

4. Algorithms to construct quadrature formulae of highest trigonometric degree of precision;Mysovskikh;Metody Vychisl.,1991

5. Quadrature rules for periodic integrands. Bi-orthogonality and para-orthogonality;Cruz-Barroso;Annals of Mathematical et Informancae.,2005

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