In this paper, for α > -1 and k ≥ 1, we characterize the classes of all infinite matrices (|Cα|k, |Nup|), (|Cα|, |Nup|k), (|Nup|k, |Cα|) and (|Nup|k, |Cα|k), where the absolute spaces |Cα|k and |Nup|k are defined by Sarıgöl [22 - 24]. Also we obtain estimates for the norms of bounded linear operators corresponding to matrices in these classes. So not only some problems are solved but also some well known results of Mehdi [12], Mazhar [11], Mohapatra and Das [13] and Sarıgöl [22]are generalized.Mathematics Subject Classification (2010): 40C05, 40D25, 40F05, 46A45.Keywords: Absolute summability, matrix operators, BK spaces, norms
In this paper we derive a series space using the well known absolute CesA ro summability of Das (Pro...
The space l k was extended to the space l p by Maddox, where p=(p n ) is a bounded sequence of posit...
Abstract The purpose of this paper is to introduce the notion of weighted almost convergence of a se...
In this paper, for α > –1 and k ≥ 1; we characterize the classes of all infinite matrices (Figure pr...
In this paper, for alpha > -1 and k >= 1; we characterize the classes of all infinite matrices (vert...
In recent years, the space |N¯pθ|k has been generated from the set of k -absolutely convergent serie...
In recent years, the space |N¯pθ|k has been generated from the set of k -absolutely convergent serie...
In a more recent paper, the second author has introduced a space |Cα|k as the set of all series by a...
In this paper we derive a series space | Cλ , μ| k using the well known absolute Cesàro summability ...
In the present paper, we establish general representations of continuous linear functionals, which p...
More recently the absolute Cesàro space |Cα|p (p≥1) has been defined and some matrix operators on it...
In recent years, the space has been generated from the set of k -absolutely convergent series a"" (k...
In the present paper, we establish general representations of continuous linear functionals, which p...
In the present paper, we establish general representations of continuous linear functionals, which p...
According to Hardy [5], Cesàro summability is usually considered for the range α ≥ -1: In a more rec...
In this paper we derive a series space using the well known absolute CesA ro summability of Das (Pro...
The space l k was extended to the space l p by Maddox, where p=(p n ) is a bounded sequence of posit...
Abstract The purpose of this paper is to introduce the notion of weighted almost convergence of a se...
In this paper, for α > –1 and k ≥ 1; we characterize the classes of all infinite matrices (Figure pr...
In this paper, for alpha > -1 and k >= 1; we characterize the classes of all infinite matrices (vert...
In recent years, the space |N¯pθ|k has been generated from the set of k -absolutely convergent serie...
In recent years, the space |N¯pθ|k has been generated from the set of k -absolutely convergent serie...
In a more recent paper, the second author has introduced a space |Cα|k as the set of all series by a...
In this paper we derive a series space | Cλ , μ| k using the well known absolute Cesàro summability ...
In the present paper, we establish general representations of continuous linear functionals, which p...
More recently the absolute Cesàro space |Cα|p (p≥1) has been defined and some matrix operators on it...
In recent years, the space has been generated from the set of k -absolutely convergent series a"" (k...
In the present paper, we establish general representations of continuous linear functionals, which p...
In the present paper, we establish general representations of continuous linear functionals, which p...
According to Hardy [5], Cesàro summability is usually considered for the range α ≥ -1: In a more rec...
In this paper we derive a series space using the well known absolute CesA ro summability of Das (Pro...
The space l k was extended to the space l p by Maddox, where p=(p n ) is a bounded sequence of posit...
Abstract The purpose of this paper is to introduce the notion of weighted almost convergence of a se...