PreprintCC BY 4.0arXiv
Dual Gauss--Legendre polynomials
Abstract
We define and investigate two families of dual polynomials associated with the Gauss--Legendre polynomials, which have recently found interesting applications in computer graphics. Using the presented results, one can derive representations of the Gauss--Legendre polynomials, construct the dual bases for Lagrange bases and solve certain approximation problems arising, for example, in CAGD.
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BibTeX
@misc{wozny2026dual,
title = {{Dual Gauss--Legendre polynomials}},
author = {Paweł Woźny},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.11355},
eprint = {2606.11355},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.11355},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dual Gauss--Legendre polynomials
AU - Paweł Woźny
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2606.11355
UR - https://arxiv.org/abs/2606.11355
AB - We define and investigate two families of dual polynomials associated with the Gauss--Legendre polynomials, which have recently found interesting applications in computer graphics. Using the presented results, one can derive representations of the Gauss--Legendre polynomials, construct the dual bases for Lagrange bases and solve certain approximation problems arising, for example, in CAGD.
ER -