A new look at the classical sequence spaces by using multiplicative calculus

GÜREFE Y., Kadak Ǔ., Misirli E., Kurdi A.

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, cilt.78, sa.2, ss.9-20, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78 Sayı: 2
  • Basım Tarihi: 2016
  • Dergi Adı: UPB Scientific Bulletin, Series A: Applied Mathematics and Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.9-20
  • Anahtar Kelimeler: Complete metric space, Metric topology, Multiplicative calculus, Sequence spaces
  • Uşak Üniversitesi Adresli: Evet

Özet

The important point to be noted on the non-Newtonian calculus is a self- contained system independent of any other system of calculus. Therefore, the reader may be surprised to learn that there is a uniform relationship between the corresponding operators of this calculus and the classical calculus. In the present paper, some fundamental theorems and notions of the classical calculus are in- Terpreted from the view point of multiplicative calculus and the analogies between them are given. We propose a concrete approach based on some topological prop- erties with respect to the multiplicative calculus. Finally, we give ∗-completeness results on some sets of specific sequences.