(Near-)inverses of sequences
- We introduce the notion of a near-inverse of a non-decreasing sequence of positive integers; near-inverses are intended to assume the role of inverses in cases when the latter cannot exist. We prove that the near-inverse of such a sequence is unique; moreover, the relation of being near-inverses of each other is symmetric, i.e. if sequence g is the near-inverse of sequence f, then f is the near-inverse of g. There is a connection, by approximations, between near- inverses of sequences and inverses of continuous strictly increasing real-valued functions which can be exploited to derive simple expressions for near-inverses
| Author details: | Helmut Jürgensen, Stavros Konstantinidis |
|---|---|
| URL: | http://www.informaworld.com/openurl?genre=journal&issn=0020-7160 |
| DOI: | https://doi.org/10.1080/00207160500537801 |
| ISSN: | 0020-7160 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2006 |
| Publication year: | 2006 |
| Release date: | 2017/03/25 |
| Source: | International journal of computer mathematics. - ISSN 0020-7160. - 83 (2006), 2, S. 203 - 222 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Informatik und Computational Science |
| Peer review: | Referiert |
| Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Informatik |
