Matrix transformations on some sequence spaces related to strong Cesàro summability and boundedness

DOI10.1016/j.amc.2009.01.062zbMath1171.40002OpenAlexW1972799610MaRDI QIDQ1021643

Eberhard Malkowsky, Bilal Altay, Feyzi Basşar

Publication date: 9 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.062

zbMATH Keywords

\(\beta\)-dualsmatrix domain in a sequence spacestrong Cesàro summability with indextriangular matrix transformations

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Functional analytic methods in summability (40H05)

Related Items

A weighted mean Hausdorff type operator and its summability matrix domain ⋮ Domain of the double sequential band matrix in the classical sequence spaces ⋮ Some new sequence spaces derived by the domain of generalized difference matrix ⋮ On some new difference sequence spaces of non-absolute type ⋮ Unnamed Item ⋮ Generalized difference spaces of non-absolute type of convergent and null sequences ⋮ A new almost convergent sequence space defined by Schröder matrix ⋮ On matrix mappings into some strong Cesàro sequence spaces ⋮ Unnamed Item ⋮ Statistical weighted \(\mathcal{B}\)-summability and its applications to approximation theorems ⋮ Hausdorff measure of noncompactness of certain matrix operators on the sequence spaces of generalized means ⋮ Domain of the double sequential band matrix in the spaces of convergent and null sequences ⋮ The Hausdorff measure of noncompactness of operators on the matrix domains of triangles in the spaces of strongly \(C_{1}\) summable and bounded sequences ⋮ Characterization of some classes of compact and matrix operators on the sequence spaces of Cesàro means ⋮ Compact Matrix Operators on Absolute Cesàro Spaces ⋮ Sequence spaces associated with fractional Copson matrix and compact operators ⋮ Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Approximation Properties ⋮ On sequence spaces defined by arithmetic function and Hausdorff measure of noncompactness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some Euler spaces of difference sequences of order \(m\)
• The dual spaces of sets of difference sequences of order \(m\) and matrix transformations
• Generalized spaces of difference sequences
• On some new generalized difference sequence spaces
• On some generalized difference sequence spaces and related matrix transformations
• Matrix transformations between sequence spaces of generalized weighted means.
• On the paranormed Riesz sequence spaces of non-absolute type
• On the new sequence spaces which include the spaces \(c_0\) and \(c\)
• Some new difference sequence spaces
• On the Euler sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\). I
• On the Euler sequence spaces which include the spaces \(\ell _{p}\) and \(\ell _{\infty}\). II
• On the space of p -summable difference sequences of order m , (1 ≦ p < ∞)
• MATRIX TRANSFORMATIONS IN SPACES OF BOUNDED AND CONVERGENT DIFFERENCE SEQUENCES OF ORDER m
• Ordinary, absolute and strong summability and matrix transformations
• On Some Euler Sequence Spaces of Nonabsolute Type
• On Kuttner's Theorem