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On the [Formula: see text] -norm of Gegenbauer polynomials
Gegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their [Formula: see text] -norm.
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer Berlin Heidelberg
2021
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9177050/ https://www.ncbi.nlm.nih.gov/pubmed/35693107 http://dx.doi.org/10.1007/s40096-021-00398-1 |
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author | Ferizović, Damir |
author_facet | Ferizović, Damir |
author_sort | Ferizović, Damir |
collection | PubMed |
description | Gegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their [Formula: see text] -norm. |
format | Online Article Text |
id | pubmed-9177050 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
spelling | pubmed-91770502022-06-09 On the [Formula: see text] -norm of Gegenbauer polynomials Ferizović, Damir Math Sci (Karaj) Original Research Gegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their [Formula: see text] -norm. Springer Berlin Heidelberg 2021-04-21 2022 /pmc/articles/PMC9177050/ /pubmed/35693107 http://dx.doi.org/10.1007/s40096-021-00398-1 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . |
spellingShingle | Original Research Ferizović, Damir On the [Formula: see text] -norm of Gegenbauer polynomials |
title | On the [Formula: see text] -norm of Gegenbauer polynomials |
title_full | On the [Formula: see text] -norm of Gegenbauer polynomials |
title_fullStr | On the [Formula: see text] -norm of Gegenbauer polynomials |
title_full_unstemmed | On the [Formula: see text] -norm of Gegenbauer polynomials |
title_short | On the [Formula: see text] -norm of Gegenbauer polynomials |
title_sort | on the [formula: see text] -norm of gegenbauer polynomials |
topic | Original Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9177050/ https://www.ncbi.nlm.nih.gov/pubmed/35693107 http://dx.doi.org/10.1007/s40096-021-00398-1 |
work_keys_str_mv | AT ferizovicdamir ontheformulaseetextnormofgegenbauerpolynomials |