Absolute Cesàro series spaces and matrix operators

DOI10.1007/s10440-017-0138-xzbMath1396.40003OpenAlexW2769083165MaRDI QIDQ1744068

Mehmet Ali Sarıgöl, G. Canan Hazar Güleç

Publication date: 16 April 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-017-0138-x

zbMATH Keywords

\(\beta\)-dualmatrix transformationsabsolute Cesàro summability

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Absolute and strong summability (40F05)

Related Items (12)

Matrix mappings and compact operators for Schröder sequence spaces ⋮ A novel conservative matrix arising from Schröder numbers and its properties ⋮ A new series space derived by absolute generalized Nörlund means ⋮ Hausdorff measure of noncompactness of matrix mappings on certain difference sequence spaces ⋮ Generalization of the Absolute Cesàro Space and Some Matrix Transformations ⋮ A new paranormed series space using Euler totient means and some matrix transformations ⋮ Characterization of generalized absolute Cesàro summability factors ⋮ Characterization of some classes of compact and matrix operators on the sequence spaces of Cesàro means ⋮ A new conservative matrix derived by Catalan numbers and its matrix domain in the spacescandc₀ ⋮ Banach spaces of absolutely \(k\)-summable series ⋮ Extension of Maddox’s space l(μ) with Nörlund means ⋮ Difference sequence spaces based on Lucas band matrix and modulus function

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some remarks on summability factors
• Necessary and sufficient conditions for the equivalence of the summability methods \(| \overline{N}, p_n|_ k\) and \(| C,1|_k\)
• Summability factors for lower-semi-matrix transformations
• Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
• On absolute weighted mean summability
• Characterization of absolute summability factors
• Matrix operators on sequence
• Summierbarkeitsfaktoren für absolut Cesàro-summierbare Reihen
• Absolute Nörlund summability
• Matrix transformations on fields of absolute weighted mean summability
• Summability Theory And Its Applications
• Some Remarks on Convergence and Summability Factors
• Summability Factors for Generalized Absolute Summability. I
• On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
• On Some Summability Factors of Infinite Series
• On Absolute Weighted Mean Summability Methods
• On Two Absolute Riesz Summability Factors of Infinite Series
• Note on Convergence and Summability Factors
• Note on Convergence and Summability Factors
• On the absolute summability factors of infinite series

This page was built for publication: Absolute Cesàro series spaces and matrix operators