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Inequalities involving upper bounds for certain matrix operators
Authors:R. Lashkaripour  D. Foroutannia
Affiliation:(1) Department of Mathematics, Sistan and Baluchestan University, Zahedan, Iran
Abstract: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 [5] and [6] and similar to that in [10].
Keywords:Inequality  norm  summability matrix  Hausdorff matrix  Hilbert matrix  weighted sequence space  Lorentz sequence space
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