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arXiv · 2606.11355

Dual Gauss--Legendre polynomials

Paweł Woźny
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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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Paweł Woźny. 2026-06-09. Dual Gauss--Legendre polynomials. https://arxiv.org/abs/2606.11355

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