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

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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… Click to show full 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. 2010 Mathematics Subject Classification: 26A06; 40A05; 40E05

Keywords: conditions geometric; sufficient conditions; condition; necessary sufficient; means sequences; geometric means

Journal Title: Miskolc Mathematical Notes
Year Published: 2017

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