Lacunary statistically ϕ-convergence

SAVAŞ E., Debnath S.

Note di Matematica, cilt.39, sa.2, ss.111-120, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 2
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1285/i15900932v39n2p111
  • Dergi Adı: Note di Matematica
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.111-120
  • Anahtar Kelimeler: Lacunary sequence, Orlicz function, Statistical convergence, ϕ-convergence
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper by using the lacunary sequence and Orlicz function ϕ, we introduce a new concept of lacunary statistically ϕ-convergence, as a generalization of the statistically ϕ-convergence and ϕ-convergence. Based on this concepts, introduce a new sequence space Sθ-ϕ and investigate some of its basic properties. Also studied some inclusion relations.