A common generalization of infinite sum, unordered sum and integral
General Mathematics
2021-10-04 v3
Abstract
We present a common ground for infinite sums, unordered sums, Riemann/Lebesgue integrals, arc length and some generalized means. It is based on extending functions on finite sets using Hausdorff metric in a natural way.
Cite
@article{arxiv.2109.02423,
title = {A common generalization of infinite sum, unordered sum and integral},
author = {Attila Losonczi},
journal= {arXiv preprint arXiv:2109.02423},
year = {2021}
}