On absolute summability of infinite series and Fourier series

DOI10.2478/AUPCSM-2023-0010MaRDI QIDQ6067776

Hikmet Seyhan Özarslan

Publication date: 14 December 2023

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

zbMATH Keywords

infinite seriesFourier seriessummability factorsabsolute matrix summability

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) 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)

Cites Work

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• Some new results on absolute Riesz summability of infinite series and Fourier series
• On the absolute Riesz summability factors
• A new note on factored infinite series and trigonometric Fourier series
• Factored infinite series and Fourier series involving almost increasing sequences
• Generalized absolute matrix summability of infinite series and Fourier series
• Local properties of generalized absolute matrix summability of factored Fourier series
• A generalization of a theorem of Bor
• On two summability methods
• A new application of quasi power increasing sequences
• A new factor theorem for absolute matrix summability

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