On lacunary strong invariant convergence with order γ

SAVAŞ E.

Filomat, cilt.38, sa.32, ss.11325-11331, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 32
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2432325s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.11325-11331
  • Anahtar Kelimeler: invariant convergence, Lacunary sequence, Modulus function, order γ
  • Uşak Üniversitesi Adresli: Evet

Özet

We known that the most vital part of summability theory is the sequence spaces. In this paper by using a modulus and the ρ-function we shall introduce the new sequence space of order γ and also discuss some important properties related to this space. Additional we establish some inclusion relations among the these sequence spaces in some detail. We should strongly indicate that our new sequence space is more general than that of corresponding sequence space defined by Waszak, [25].