... null sequences, respectively. The zero sequence isdenoted by θ θ,θ,θ, , where θ is the zero element of X.The idea of statistical convergence was introduced by Fast 1 and studied by variousauthors ... statisticallyconvergent, and bounded statistically null X-valued sequence spaces throughout the paper,where X, q is a seminormed space, seminormed by q. For X C, the space of complexnumbers, these spaces ... Bas¸arir, basarir@sakarya.edu.trReceived 8 May 2009; Revised 3 August 2009; Accepted 26 August 2009Recommended by Andrei VolodinWe de ne generalized paranormed sequence spacescσ, M, p, q, s,...