On some generalized q-difference sequence spaces

Abstract

In this study, we construct the spaces of $ q $-difference sequences of order $ m $. We obtain some inclusion relations, topological properties, Schauder basis and alpha, beta and gamma duals of the newly defined spaces. We characterize certain matrix classes from the newly defined spaces to any one of the spaces $ c_0, c, \ell_\infty $ and $ \ell_p $.

Keywords

• sequence spaces
• $ q $-calculus
• $ q $-difference matrix
• $ q $-difference sequence spaces