Please use this identifier to cite or link to this item:
https://scidar.kg.ac.rs/handle/123456789/13870
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.rights.license | openAccess | - |
dc.contributor.author | Milovanovic, Gradimir | - |
dc.contributor.author | Vasović, Nevena | - |
dc.date.accessioned | 2022-02-02T17:26:02Z | - |
dc.date.available | 2022-02-02T17:26:02Z | - |
dc.date.issued | 2022 | - |
dc.identifier.issn | 2307-4108 | - |
dc.identifier.uri | https://scidar.kg.ac.rs/handle/123456789/13870 | - |
dc.description.abstract | 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. | - |
dc.rights | info:eu-repo/semantics/openAccess | - |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
dc.source | Kuwait Journal of Science | - |
dc.title | Orthogonal polynomials and generalized Gauss-Rys quadrature formulae | - |
dc.type | article | - |
dc.identifier.doi | 10.48129/kjs.v49i1.10665 | - |
dc.identifier.scopus | 2-s2.0-85122132823 | - |
Appears in Collections: | Faculty of Hotel Management and Tourism, Vrnjačka Banja |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
10.48129-kjs.v49i1.10665.pdf | 1.16 MB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License