Matrix domain of the second-order q-Cesàro matrix in classical sequence spaces

Abstract

In this paper, we study a second-order q-Cesàro matrix and its matrix domains in the spaces c0 and c. We establish basic structural results, including inclusion relations, connections with earlier Cesàro-type sequence spaces, the duals of these spaces, and the associated matrix transformations. Our approach extends known work on q-Cesàro operators and provides a starting point for further investigations of higher-order q-averaging methods in summability theory.