Some inequalities involving upper bounds for some matrix operators. I
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 2, pp. 553-572
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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].
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
Keywords: inequality; norm; summability matrix; Hausdorff matrix; Nörlund matrix; weighted mean matrix; weighted sequence space and Lorentz sequence space
@article{CMJ_2007_57_2_a2,
author = {Lashkaripour, R. and Foroutannia, D.},
title = {Some inequalities involving upper bounds for some matrix operators. {I}},
journal = {Czechoslovak Mathematical Journal},
pages = {553--572},
year = {2007},
volume = {57},
number = {2},
mrnumber = {2337614},
zbl = {1174.15017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_2_a2/}
}
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/