An application of power increasing sequences to infinite series and fourier series

DOI10.2298/FIL1706543BzbMath1499.40054OpenAlexW2412991739MaRDI QIDQ4956595

Hüseyin Bor

Publication date: 2 September 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1706543b

zbMATH Keywords

infinite seriessequence spaceFourier seriesHölder inequalityMinkowski inequalityRiesz meanalmost increasing sequencequasi-\(\sigma\)-power increasing sequence

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Inequalities for sums, series and integrals (26D15) Multiple sequences and series (40B05) Convergence factors and summability factors (40D15) Summability and absolute summability of Fourier and trigonometric series (42A24) Absolute and strong summability (40F05) Special methods of summability (40G99)

Related Items (11)

Unnamed Item ⋮ Matrix application of power increasing sequences to infinite series and Fourier series ⋮ Unnamed Item ⋮ A new note on factored infinite series and trigonometric Fourier series ⋮ Factored infinite series and Fourier series involving almost increasing sequences ⋮ Absolute matrix summability factors of Fourier series with quasi-\(f\)-power increasing sequences ⋮ On absolute matrix summability factors of infinite series and Fourier series ⋮ A new factor theorem for absolute matrix summability ⋮ A New Application of a Wider Class of Power Increasing Sequences ⋮ On the generalizations of some factors theorems for infinite series and fourier series ⋮ Absolute weighted arithmetic mean summability factors of infinite series and trigonometric fourier series

Cites Work

• A note on \(|A|_k\) summability factors of infinite series
• A study on weighted mean summability
• On two summability methods
• On an Extension of Absolute Summability and Some Theorems of Littlewood and Paley
• On Absolute Summability Factors
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