Ellidokuzoglu, Hacer BilginDemiriz, SerkanKara, Merve Ilkhan2025-10-112025-10-1120250354-5180https://doi.org/10.2298/FIL2502715Bhttps://hdl.handle.net/20.500.12684/21635This 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.en10.2298/FIL2502715Binfo:eu-repo/semantics/openAccesssequence spacesq-Schroder numbersdual spacesmatrix transformationscore theoremsArticle3927157292-s2.0-85218168584WOS:001470406700025Q3Q2