English

On the positivity of Riemann-Stieltjes integrals

Classical Analysis and ODEs 2013-06-04 v2

Abstract

We study the question, whether a Riemann-Stieltjes integral of a positive continuous function with respect to a non-negative function of bounded variation is positive.

Keywords

Cite

@article{arxiv.1203.5276,
  title  = {On the positivity of Riemann-Stieltjes integrals},
  author = {Jani Lukkarinen and Mikko S. Pakkanen},
  journal= {arXiv preprint arXiv:1203.5276},
  year   = {2013}
}

Comments

6 pages, 1 figure, v2: the formulation of Theorem 1 fixed