English

The error in an alternating series

Classical Analysis and ODEs 2015-11-30 v1

Abstract

We give a new proof of Johnsonbaugh's refined error estimates of an alternating series based on an idea of R. M. Young. We also give a new proof of the error estimate and convergence of the Euler transform.

Keywords

Cite

@article{arxiv.1511.08568,
  title  = {The error in an alternating series},
  author = {Mark B. Villarino},
  journal= {arXiv preprint arXiv:1511.08568},
  year   = {2015}
}
R2 v1 2026-06-22T11:55:20.095Z