English

On an integral as an interval function

Classical Analysis and ODEs 2014-09-29 v1

Abstract

Based on the total integrability we first define an integral of a real valued function f as an interval function associated to its antiderivative F. By introducing the concept of the residue of a function into the real analysis, the relationship between the so defined integral and the generalized Riemann integral is established.

Keywords

Cite

@article{arxiv.1409.7487,
  title  = {On an integral as an interval function},
  author = {Branko Saric},
  journal= {arXiv preprint arXiv:1409.7487},
  year   = {2014}
}

Comments

5 pages

R2 v1 2026-06-22T06:06:27.875Z