Necessary and sufficient conditions for geometric means of sequences in multiplicative calculus [2]

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. © 2016 Miskolc University Press.