Alternative Orthogonal Polynomials
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Classical Analysis and ODEs
Abstract
The double-direction orthogonalization algorithm is applied to construct sequences of polynomials, which are orthogonal over the interval [0,1]with the weighting function 1. Functional and recurrent relations are derived for the sequences that are the result of the inverse orthogonalization procedure. Quadratures, generated by the sequences are described.
Cite
@article{arxiv.math/0405316,
title = {Alternative Orthogonal Polynomials},
author = {Vladimir Chelyshkov},
journal= {arXiv preprint arXiv:math/0405316},
year = {2025}
}
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5 pages