Czechoslovak Mathematical Journal, Vol. 57, No. 2, pp. 553-572, 2007

Some inequalities involving upper bounds for some matrix operators I

R. Lashkaripour, D. Foroutannia

R. Lashkaripour, D. Foroutannia, Dept. of Math., Sistan and Baluchestan University, Zahedan, Iran, e-mail:,

Abstract: In this paper we consider the problem of finding upper bounds of certain matrix operators such as Hausdorff, Norlund 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].

Keywords: inequality, norm, summability matrix, Hausdorff matrix, Norlund matrix, weighted mean matrix, weighted sequence space and Lorentz sequence space

Classification (MSC 2000): 47-99, 15A60

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