Inequalities involving upper bounds for certain matrix operators
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In this paper, we considered the problem of finding the upper bound Hausdorff matrix operator from sequence spaces lp(v) (ord(v, p)) intol p (w) (ord(w, p)). Also we considered the upper bound problem for matrix operators fromd(v, 1) intod(w, 1), and matrix operators frome(w, ∞) intoe(v, ∞), and deduce upper bound for Cesaro, Copson and Hilbert matrix operators, which are recently considered in  and  and similar to that in .
KeywordsInequality norm summability matrix Hausdorff matrix Hilbert matrix weighted sequence space Lorentz sequence space
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