Some inequalities involving upper bounds for some matrix operators. I

summary:In this paper we consider the problem of finding upper bounds of certain matrix operators such as Hausdorff, Nörlund matrix, weighted mean and summability on sequence spaces $l_p(w)$ 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 $l_p$ spaces, see [1] and [2]

Cesaro Spaces and Norm of Operators on These Matrix Domains

In this paper, we investigate some properties of the domain of the Cesaro matrix of ordernand compute Kothe dual of this space. Moreover, we compute the norm of well-known operators such as Hilbert, Hausdorff, backward difference and weighted mean operators on this new sequence space.WOS:0005459963000032-s2.0-8508693198