NECESSARY AND SUFFICIENT CONDITIONS FOR GEOMETRIC MEANS OF SEQUENCES IN MULTIPLICATIVE CALCULUS


Çanak İ., Totur U., Sezer S. A.

MISKOLC MATHEMATICAL NOTES, cilt.17, ss.791-800, 2016

  • Cilt numarası: 17
  • Basım Tarihi: 2016
  • Doi Numarası: 10.18514/mmn.2016.1800
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Sayfa Sayısı: ss.791-800

Özet

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.