<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>We show that the sum of two intervals in an ordered dense Abelian group is also an interval such that the endpoints of the sum are equal to the sums of the endpoints. We prove analogous statements concerning to the product of two intervals.</p>
</abstract>

We show that the sum of two intervals in an ordered dense Abelian group is also an interval such that the endpoints of the sum are equal to the sums of the endpoints. We prove analogous statements concerning to the product of two intervals.

Sums and products of intervals in ordered groups and fields

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Sums and products of intervals in ordered groups and fields"}

We show that the sum of two intervals in an ordered dense Abelian group is also an interval such that the endpoints of the sum are equal to the sums of the...

Sums and products of intervals in ordered groups and fields

Published Online: Aug 26, 2021

Page range: 182 - 191

Received: Aug 03, 2020

DOI: https://doi.org/10.2478/ausm-2021-0010

Keywords
interval, ordered dense Abelian gropup, ordered field, interval arithmetic, interval calculus, interval analysis

© 2021 Tamás Glavosits et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Sums and products of intervals in ordered groups and fields

Published Online: Aug 26, 2021

Page range: 182 - 191

Received: Aug 03, 2020

DOI: https://doi.org/10.2478/ausm-2021-0010

Keywordsinterval, ordered dense Abelian gropup, ordered field, interval arithmetic, interval calculus, interval analysis

© 2021 Tamás Glavosits et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
interval, ordered dense Abelian gropup, ordered field, interval arithmetic, interval calculus, interval analysis