English

Polynomial regression using trapezoidal rule for computing Legendre coefficients

Numerical Analysis 2013-12-02 v1 Computation

Abstract

We are presenting a method for computing the Fourier coefficients of a given polynomial regression by using the trapezoidal rule for numerical integration. As function basis we use the orthogonal Legendre polynomials. The results are accurate and stable compared to Forsythe's method.

Keywords

Cite

@article{arxiv.1311.7525,
  title  = {Polynomial regression using trapezoidal rule for computing Legendre coefficients},
  author = {Demetris T. Christopoulos},
  journal= {arXiv preprint arXiv:1311.7525},
  year   = {2013}
}

Comments

13 pages, 2 figures, 4 tables

R2 v1 2026-06-22T02:17:27.176Z