Redefining the integral

• Published in 2018
• Added on 2018-05-08

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".

Links

• http://arxiv.org/abs/1805.01861v1
• http://arxiv.org/pdf/1805.01861v1

Other information

BibTeX entry

@article{Redefiningtheintegral,
	key = {Redefiningtheintegral},
	type = {article},
	title = {Redefining the integral},
	author = {Derek Orr},
	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".},
	comment = {},
	date_added = {2018-05-08},
	date_published = {2018-09-26},
	urls = {http://arxiv.org/abs/1805.01861v1,http://arxiv.org/pdf/1805.01861v1},
	collections = {Unusual arithmetic},
	url = {http://arxiv.org/abs/1805.01861v1 http://arxiv.org/pdf/1805.01861v1},
	year = 2018,
	urldate = {2018-05-08},
	archivePrefix = {arXiv},
	eprint = {1805.01861},
	primaryClass = {math.CA}
}