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Keywords:
inequality; norm; summability matrix; Hausdorff matrix; Nörlund matrix; weighted mean matrix; weighted sequence space and Lorentz sequence space
inequality; norm; summability matrix; Hausdorff matrix; Nörlund matrix; weighted mean matrix; weighted sequence space and Lorentz sequence space
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].
References:
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