Lacunary almost convergence and some new sequence spaces

SAVAŞ E.

Filomat, cilt.33, sa.5, ss.1397-1402, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1905397s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1397-1402
  • Anahtar Kelimeler: Absolutely lacunary summable, Almost convergence, Strongly lacunary almost summability
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper we study some new sequence spaces of strongly lacunary almost summable sequences, which naturally come up for investigation and which will fill up a gap in the existing literature. Some topological results, a characterization of strongly lacunary almost regular matrices, uniqueness of generalized limits and inclusion relations of such sequences have been observed.