Redefining the integral
Classical Analysis and ODEs
2018-05-07 v1
Abstract
In this paper, we discuss a similar functional to that of a standard integral. The main difference is in its definition: instead of taking a sum, we are taking a product. It turns out this new "star-integral" may be written in terms of the standard integral but it has many different (and similar) interesting properties compared to the regular integral. Further, we define a "star-derivative" and discuss its relationship to the "star-integral".
Keywords
Cite
@article{arxiv.1805.01861,
title = {Redefining the integral},
author = {Derek Orr},
journal= {arXiv preprint arXiv:1805.01861},
year = {2018}
}
Comments
13 pages