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arXiv · 1505.06635

An Orthogonality Property of the Legendre Polynomials

Len Bos·Akil Narayan·Norm Levenberg·Federico Piazzon
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Abstract

We give a remarkable additional orthogonality property of the classical Legendre polynomials on the real interval $[-1,1]$: polynomials up to degree $n$ from this family are mutually orthogonal under the arcsine measure weighted by the degree-$n$ normalized Christoffel function.

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Len Bos, Akil Narayan, Norm Levenberg, Federico Piazzon. 2015-05-25. An Orthogonality Property of the Legendre Polynomials. https://arxiv.org/abs/1505.06635

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