A variation on strong lacunary quasi-Cauchy sequences in 2-normed spaces


Cakalli H., Ersan S. S.

International Conference on Advancements in Mathematical Sciences, AMS 2015, Antalya, Türkiye, 5 - 07 Kasım 2015, cilt.1676, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1676
  • Doi Numarası: 10.1063/1.4930460
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: Continuity, Quasi-Cauchy sequences, Sequences, Series summability, Strong lacunary convergence
  • Maltepe Üniversitesi Adresli: Evet

Özet

In this paper, we introduce and investigate ideal strong lacunary ward continuity in 2-normed spaces. A function f on a subset A of a 2-normed space X into X is ideal strongly lacunary ward continuous if it preserves ideal strong lacunary quasi-Cauchy sequences of points in A. We also studied some other kinds of continuities.