Paranormed Nörlund Sequence Spaces

In this chapter, we introduce the paranormed Nörlund sequence spaces N^t(p) and determine its alpha-, beta- and gamma-duals. We characterize the classes of matrix transformations from the space N^t(p) into any given sequence space μ and from a given sequence space μ into the space N^t(p). Finally, we give the necessary and sufficient condition in order the space N^t(p) to be rotund and present some results related to this concept.