English

Modified Riemann sums of Riemann-Stieltjes integrable functions

Classical Analysis and ODEs 2019-05-03 v1

Abstract

In this paper, motivated by physical considerations, we introduce the notion of modified Riemann sums of Riemann-Stieltjes integrable functions, show that they converge, and compute them explicitely under various assumptions.

Keywords

Cite

@article{arxiv.1905.00881,
  title  = {Modified Riemann sums of Riemann-Stieltjes integrable functions},
  author = {Alberto Torchinsky},
  journal= {arXiv preprint arXiv:1905.00881},
  year   = {2019}
}