Some inequalities involving upper bounds for some matrix operators I

R Lashkaripour, D Foroutannia - Czechoslovak Mathematical Journal, 2007 - Springer
R Lashkaripour, D Foroutannia
Czechoslovak Mathematical Journal, 2007Springer
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 lp
(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 lp spaces, see [1] and [2].
Abstract
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].
Springer
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