中文

Alternative Orthogonal Polynomials

数值分析 2025-10-20 v1 数值分析 经典分析与常微分方程

摘要

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.

关键词

引用

@article{arxiv.math/0405316,
  title  = {Alternative Orthogonal Polynomials},
  author = {Vladimir Chelyshkov},
  journal= {arXiv preprint arXiv:math/0405316},
  year   = {2025}
}

备注

5 pages