Geodesic
Some inequalities involving upper bounds for some matrix operators. I
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 553-572.

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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].
Classification : 15A45, 15A60, 47-99, 47A99, 47B37
Keywords: inequality; norm; summability matrix; Hausdorff matrix; Nörlund matrix; weighted mean matrix; weighted sequence space and Lorentz sequence space 
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Lashkaripour, R.; Foroutannia, D. Some inequalities involving upper bounds for some matrix operators. I. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 553-572. http://geodesic.mathdoc.fr/item/CMJ_2007__57_2_a2/