Necessary and sufficient conditions for geometric means of sequences in multiplicative calculus

Type: Article

Publication Date: 2017-01-01

Citations: 2

DOI: https://doi.org/10.18514/mmn.2017.1800

Abstract

In this paper we have introduced the concept of geometric convergence of a sequence and determined the necessary and sufficient condition under which convergence follows from geometric convergence of a sequence in multiplicative sense.Corollaries allow this condition to be replaced by multiplicative analogues of Schmidt type slow oscillation condition or Landau type two-sided condition.

Locations

  • Miskolc mathematical notes/Mathematical notes - View - PDF
  • Repository of the Academy's Library (Library of the Hungarian Academy of Sciences) - View - PDF

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