English

Change of variable in Riemann integration revisited

Classical Analysis and ODEs 2013-04-15 v3

Abstract

We present a new proof to a general result due to Kestelman. Our proof differs completely from the other proofs we know and we hope that readers will find it clearer. We also include a quite exhaustive bibliographical analysis on related results and proofs.

Keywords

Cite

@article{arxiv.1010.0554,
  title  = {Change of variable in Riemann integration revisited},
  author = {Rodrigo López Pouso},
  journal= {arXiv preprint arXiv:1010.0554},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author due to a crucial error in inequality (3.9). We have amended it in the paper "Riemann integration through primitives for a ..."

R2 v1 2026-06-21T16:23:19.153Z