q-Schröder sequence spaces and Schröder core

This research employs the q-Schr?der matrix eSq to create the sequence spaces c0(?Sq), c(?Sq), ??(?Sq) and ?p(?Sq) where (1 ? p < ?). 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 Schr?der?s core of complex valued sequences and define various inclusion theorems for the new core type.