Some inequalities involving upper bounds for some matrix operators I

Abstract

In this paper we consider the problem of finding upper bounds of certain matrix operators such as Hausdorff, Norlund matrix, weighted mean and summability on sequence spaces lp(w) and Lorentz sequence spaces d(w, p), which was recently considered in [9] and [10] and similarly to [14] by Josip Pecaric, Ivan Peric and Rajko Roki. Also, this study is an extension of some works by G. Bennett on lp spaces, see [1] and [2].