@article{JuergensenKonstantinidis2006,
  author    = {J{\"u}rgensen, Helmut and Konstantinidis, Stavros},
  title     = {(Near-)inverses of sequences},
  issn      = {0020-7160},
  doi       = {10.1080/00207160500537801},
  year      = {2006},
  abstract  = {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},
  language  = {en}
}