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https://scidar.kg.ac.rs/handle/123456789/13870
Назив: | Orthogonal polynomials and generalized Gauss-Rys quadrature formulae |
Аутори: | Milovanovic, Gradimir Vasović, Nevena |
Датум издавања: | 2022 |
Сажетак: | Orthogonal polynomials and the corresponding quadrature formulas of Gaussian type concerning the even weight function ωλ(t; x) = exp(−xt2)(1 − t2)λ−1/2 on (−1, 1), with parameters λ > −1/2 and x > 0, are considered. For λ = 1/2 these quadrature rules reduce to the so-called Gauss-Rys quadrature formulas, which were investigated earlier by several authors, e.g., Dupuis at al 1976 and 1983; Sagar 1992; Schwenke 2014; Shizgal 2015; King 2016; Milovanović 2018, etc. In this generalized case, the method of modified moments is used, as well as a transformation of quadratures on (−1, 1) with N nodes to ones on (0, 1) with only (N + 1)/2 nodes. Such an approach provides a stable and very efficient numerical construction. |
URI: | https://scidar.kg.ac.rs/handle/123456789/13870 |
Тип: | article |
DOI: | 10.48129/kjs.v49i1.10665 |
ISSN: | 2307-4108 |
SCOPUS: | 2-s2.0-85122132823 |
Налази се у колекцијама: | Faculty of Hotel Management and Tourism, Vrnjačka Banja |
Датотеке у овој ставци:
Датотека | Опис | Величина | Формат | |
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10.48129-kjs.v49i1.10665.pdf | 1.16 MB | Adobe PDF | Погледајте |
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