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(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

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Author:Helmut Jürgensen, Stavros Konstantinidis
Document Type:Article
Year of first Publication:2006
Year of Completion: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 publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Informatik