q-Schroder sequence spaces and Schroder core

Ellidokuzoglu H. B., Demiriz S., Kara M. I.

FILOMAT, cilt.39, sa.2, ss.715-729, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2502715b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.715-729
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

This research employs the q-Schroder matrix to create the sequence spaces c(0)((S) over tilde (q)), c((S) over tilde (q)),l(infinity)((S) over tilde (q)) and l(p)((S) over tilde (q)) where (1 <= p < infinity). We demonstrate certain topological features, derive Schauder bases, calculate the alpha, beta and gamma duals of new sequence spaces, build some matrix classes, and finally show some topological properties. In addition, we give Schroder's core of complex valued sequences and define various inclusion theorems for the new core type.