On absolute double summability methods with high indices

DOI10.1515/ms-2021-0065zbMath1490.40008OpenAlexW4200224297MaRDI QIDQ2063362

Mehmet Ali Sarıgöl

Publication date: 11 January 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2021-0065

zbMATH Keywords

double seriesHölder's inequalityabsolute Riesz summability

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Inclusion and equivalence theorems in summability theory (40D25) Multiple sequences and series (40B05) Absolute and strong summability (40F05)

Cites Work

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• Necessary and sufficient conditions for the equivalence of the summability methods \(| \overline{N}, p_n|_ k\) and \(| C,1|_k\)
• On inclusion relations for absolute weighted mean summability
• Some equivalence theorems on absolute summability methods
• Notes on Fourier analysis. XVIII. Absolute summability of series with constant terms
• On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
• On Some Summability Factors of Infinite Series
• On absolute normal double matrixsummability methods
• On Two Absolute Riesz Summability Factors of Infinite Series
• Characterization of summability methods with high indices

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