On absolute summability of factored infinite series and trigonometric Fourier series

DOI10.1007/s00025-018-0877-7zbMath1408.40005OpenAlexW2886936872WikidataQ129414707 ScholiaQ129414707MaRDI QIDQ1990811

Hüseyin Bor

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0877-7

zbMATH Keywords

infinite seriessequence spaceFourier seriesHölder inequalitysummability factorsMinkowski inequalityweighted arithmetic meanpower increasing sequences

Mathematics Subject Classification ID

Convergence factors and summability factors (40D15) Summability and absolute summability of Fourier and trigonometric series (42A24) Absolute and strong summability (40F05)

Related Items (8)

Absolute weighted arithmetic mean summability of factored infinite series and Fourier series ⋮ On absolute weighted arithmetic mean summability of infinite series and Fourier series ⋮ Equivalence theorem for absolute matrix summability methods ⋮ A new note on factored infinite series and trigonometric Fourier series ⋮ Factored infinite series and Fourier series involving almost increasing sequences ⋮ On absolute matrix summability factors of infinite series and Fourier series ⋮ On generalization of two theorems pertaining to integrability of cosine and sine trigonometric series ⋮ A New Application of a Wider Class of Power Increasing Sequences

Cites Work

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• On two summability methods
• On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
• On the Relative Strength of Two Absolute Summability Methods
• On Some Summability Factors of Infinite Series

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