On the Classical Paranormed Sequence Spaces and Related Duals over the Non-Newtonian Complex Field

Kadak U., Kirisci M. , Cakmak A. F.

JOURNAL OF FUNCTION SPACES, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1155/2015/416906


The studies on sequence spaces were extended by using the notion of associated multiplier sequences. A multiplier sequence can be used to accelerate the convergence of the sequences in some spaces. In some sense, it can be viewed as a catalyst, which is used to accelerate the process of chemical reaction. Sometimes the associated multiplier sequence delays the rate of convergence of a sequence. In the present paper, the classical paranormed sequence spaces have been introduced and proved that the spaces are star-complete. By using the notion of multiplier sequence, the alpha-, beta-, and gamma-duals of certain paranormed spaces have been computed and their basis has been constructed.