Inequalities involving upper bounds for certain matrix operators

Abstract

In this paper, we considered the problem of finding the upper bound Hausdorff matrix operator from sequence spaces $l_p(v)$ (or $d(v,p)$) into $l_p(w)$ (or $d(w,p)$). Also we considered the upper bound problem for matrix operators from $d(v,1)$ into $d(w,1)$, and matrix operators from $e(w,\infty )$ into $e(v,\infty )$, and deduce upper bound for Cesaro, Copson and Hilbert matrix operators, which are recently considered in \cite{5} and \cite{6} and similar to that in \cite{10}.

12 pages