On deferred sequence spaces defined by invariant convergence

SAVAŞ E.

Filomat, cilt.39, sa.21, ss.7261-7269, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 21
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2521261s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7261-7269
  • Anahtar Kelimeler: deferred Cesàro mean, invariant means, modulus function, paranorm space
  • Uşak Üniversitesi Adresli: Evet

Özet

The main contribution of this paper is to define the notion of deferred Cesàro mean coming from modern summability methods by using invariant means and study some of its properties and also establish relations among these sequence spaces. These ideas and results are expected to be a source for researchers in the area of summability theory. In the end we can say that this concept can be generalized and applied for further studies.