Name
Title | ||
|---|---|---|
On bi-orthogonal systems of trigonometric functions and quadrature formulas for periodic integrands |
Abstract | ||
|---|---|---|
In this paper, quadrature formulas with an arbitrary number of nodes and exactly integrating trigonometric polynomials up
to degree as high as possible are constructed in order to approximate 2π-periodic weighted integrals. For this purpose, certain bi-orthogonal systems of trigonometric functions are introduced and
their most relevant properties studied. Some illustrative numerical examples are also given. The paper completes the results
previously given by Szegő in Magy Tud Akad Mat Kut Intez K�zl 8:255–273, 1963 and by some of the authors in Annales Mathematicae et Informaticae 32:5–44, 2005. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1007/s11075-007-9106-2 | Numerical Algorithms |
Keywords | Field | DocType |
Bi-orthogonality,Quadrature rules,Szegő polynomials,Trigonometric functions,41A05,42A15,65D30,65D32 | Trigonometric polynomial,Proofs of trigonometric identities,Trigonometric functions,Differentiation of trigonometric functions,Mathematical analysis,Trigonometric substitution,Mathematics,Trigonometric integral,Integration using Euler's formula,Trigonometric interpolation | Journal |
Volume | Issue | ISSN |
44 | 4 | 1017-1398 |
Citations | PageRank | References |
6 | 0.94 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ruymán Cruz-Barroso | 1 | 25 | 4.75 |
| Pablo GonzáLez-Vera | 2 | 100 | 17.26 |
| Olav NjåStad | 3 | 56 | 12.34 |