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https://scidar.kg.ac.rs/handle/123456789/9384| Title: | Trigonometric multiple orthogonal polynomials of semi-integer degree and the corresponding quadrature formulas |
| Authors: | Milovanovic, Gradimir  Stanić, Marija    Tomović, Tatjana |
| Issue Date: | 2014 |
| Abstract: | An optimal set of quadrature formulas with an odd number of nodes for trigonometric polynomials in Borges' sense [Numer. Math. 67 (1994), 271-288], as well as trigonometric multiple orthogonal polynomials of semi-integer degree are defined and studied. The main properties of such a kind of orthogonality are proved. Also, an optimal set of quadrature rules is characterized by trigonometric multiple orthogonal polynomials of semiinteger degree. Finally, theoretical results are illustrated by some numerical examples. |
| URI: | https://scidar.kg.ac.rs/handle/123456789/9384 |
| Type: | article |
| DOI: | 10.2298/PIM1410211M |
| ISSN: | 0350-1302 |
| SCOPUS: | 2-s2.0-84911925820 |
| Appears in Collections: | Faculty of Science, Kragujevac |
 | Page views(s)484 | Downloads(s)23 |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 10.2298-PIM1410211M.pdf | 192.72 kB | Adobe PDF |  View/Open |
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