An application of quasi-monotone sequences to infinite series and Fourier series

DOI10.1007/S13324-017-0164-XzbMath1398.40014OpenAlexW2589756290MaRDI QIDQ1743908

Hüseyin Bor

Publication date: 16 April 2018

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-017-0164-x

zbMATH Keywords

infinite seriessequence spaceabsolute summabilityFourier seriesHölder inequalitysummability factorsMinkowski inequalityRiesz mean

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 (10)

Absolute weighted arithmetic mean summability of factored infinite series and Fourier series ⋮ On absolute weighted arithmetic mean summability of infinite series and Fourier series ⋮ A new application of almost increasing sequences to infinite series and Fourier series ⋮ 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 ⋮ A new extension on the theorem of Bor ⋮ 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 ⋮ An application of quasi-monotone sequences to absolute matrix summability

Cites Work

• A note on \(|A|_k\) summability factors of infinite series
• Quasimonotone and almost increasing sequences and their new applications
• On quasi-monotone sequences and their applications
• On two summability methods
• On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
• Quasi-Positive Sequences and Trigonometric Series^†
• On generalized quasi-convex sequence and its applications
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