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.

Detalles Bibliográficos
Autor principal: Ferizović, Damir
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Original Research
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.
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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

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