A new note on absolute matrix summability of infinite series

DOI10.32513/TMJ/19322008114zbMath1487.26049OpenAlexW3143021738MaRDI QIDQ2143723

Ahmet Karakaş, Hikmet Seyhan Özarslan

Publication date: 31 May 2022

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.32513/tmj/19322008114

zbMATH Keywords

infinite seriesHölder inequalitysummability factorsMinkowski's inequalityabsolute matrix summabilityalmost increasing sequence

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convergence factors and summability factors (40D15) Absolute and strong summability (40F05) Special methods of summability (40G99)

Cites Work

• A Korovkin's type approximation theorem for periodic functions via the statistical summability of the generalized de la Vallée Poussin mean
• On local property of \(| \overline{N},p_ n;\delta|_ k\) summability of factored Fourier series
• On \(|\overline{N},p_ n;\delta|_ k\) summability factors of infinite series
• Inclusion theorems for absolute matrix summability methods of an infinite series. IV.
• Statistical weighted \(\mathcal{B}\)-summability and its applications to approximation theorems
• Generalized equi-statistical convergence of the deferred Nörlund summability and its applications to associated approximation theorems
• On two summability methods
• An Application of Absolute Matrix Summability using Almost Increasing and delta-quasi-monotone Sequences
• A new factor theorem for absolute matrix summability
• A new application of certain generalized power increasing sequences
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