Some equivalence theorems on absolute summability methods

DOI10.1007/S10474-016-0582-5zbMath1399.40020OpenAlexW2336485775MaRDI QIDQ1701322

Hüseyin Bor

Publication date: 22 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-016-0582-5

zbMATH Keywords

infinite seriessequence spaceabsolute summabilityequivalence theoremHölder inequalityMinkowski inequalityRiesz mean

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Absolute and strong summability (40F05)

Related Items (10)

On absolute Nörlund spaces and matrix operators ⋮ Unnamed Item ⋮ Necessary and sufficient conditions for the inclusion relation between two summability methods ⋮ Equivalence theorem for absolute matrix summability methods ⋮ A remark on φ-｜̅N,q_n;δ｜_k summability ⋮ Characterization of generalized absolute Cesàro summability factors ⋮ Characterization of some classes of compact and matrix operators on the sequence spaces of Cesàro means ⋮ Compact Matrix Operators on Absolute Cesàro Spaces ⋮ On equivalence of absolute double weighted mean methods ⋮ On absolute double summability methods with high indices

Cites Work

• Unnamed Item
• Unnamed Item
• On local property of \(| \overline{N},p_ n;\delta|_ k\) summability of factored Fourier series
• Notes on Fourier analysis. XVIII. Absolute summability of series with constant terms
• On two summability methods
• A Note on Two Summability Methods
• SOME ELEMENTARY INEQUALITIES
• Some More Theorems Concerning the Absolute Summability of Fourier Series and Power Series
• On the Relative Strength of Two Absolute Summability Methods
• A NOTE ON TWO ABSOLUTE SUMMABILITY METHODS

This page was built for publication: Some equivalence theorems on absolute summability methods