Wijman asymptotical I_2-lacunary statistical equivalence of order η for double set sequences

Gülle E., ULUSU U.

Journal of Applied Mathematics and Informatics, cilt.40, ss.215-231, 2022 (Hakemli Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40
  • Basım Tarihi: 2022
  • Doi Numarası: 10.14317/jami.2022.215
  • Dergi Adı: Journal of Applied Mathematics and Informatics
  • Sayfa Sayıları: ss.215-231
  • Anahtar Kelimeler: Asymptotical equivalence, I-lacunary statistical convergence, order eta, double set sequences, Wijsman convergence
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

© 2022 KSCAM.In this paper, for double set sequences, as a new approach to the notion of Wijsman asymptotical lacunary statistical equivalence of order η, we introduce new concepts which are called Wijsman asymptotical I2-lacunary statistical equivalence of order η and Wijsman asymptotical strong I2-lacunary equivalence of order η where 0 < η ≤ 1. Also, some properties of these new concepts are investigated, and the existence of some relations between these and some previously studied asymptotical equivalence concepts for double set sequences is examined.