An Orthogonality Property of the Legendre Polynomials

作者：Bos L^*; Narayan A; Levenberg N; Piazzon F

来源：Constructive Approximation, 2017, 45(1): 65-81.

DOI：10.1007/s00365-015-9321-3

• Legendre polynomials
• Christoffel function
• Equilibrium measure

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

• 出版日期2017-2