English

On integration with respect to filter

Functional Analysis 2023-09-21 v1

Abstract

Using a concept of filter we propose one generalization of Riemann integral, that is integration with respect to filter. We study this problem, demonstrate different properties and phenomena of filter integration.

Keywords

Cite

@article{arxiv.2309.10879,
  title  = {On integration with respect to filter},
  author = {Dmytro Seliutin},
  journal= {arXiv preprint arXiv:2309.10879},
  year   = {2023}
}
R2 v1 2026-06-28T12:26:34.122Z