English

Estimates of linear expressions through factorization

Classical Analysis and ODEs 2024-12-10 v1

Abstract

The aim of this paper is to establish various factorization results and then to derive estimates for linear functionals through the use of a generalized Taylor theorem. Additionally, several error bounds are established including applications to the trapezoidal rule as well as to a Simpson formula-type rule.

Keywords

Cite

@article{arxiv.2412.05652,
  title  = {Estimates of linear expressions through factorization},
  author = {Ali Hasan Ali and Zsolt Páles},
  journal= {arXiv preprint arXiv:2412.05652},
  year   = {2024}
}
R2 v1 2026-06-28T20:26:35.148Z