TAUBERIAN THEOREMS FOR THE WEIGHTED MEAN METHOD OF SUMMABILITY OF INTEGRALS

DOI10.22190/FUMI2003775OzbMath1488.40046OpenAlexW3109986995MaRDI QIDQ5010213

Firat Ozsarac, İbrahim Çanak

Publication date: 24 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi2003775o

zbMATH Keywords

weight functionfinite intervalTauberian conditionssummable integrals

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Convergence and divergence of integrals (40A10) Tauberian theorems (40E05)

Cites Work

• Unnamed Item
• Extended Tauberian theorem for the weighted mean method of summability
• Some Tauberian theorems for the weighted mean methods of summability
• On relations between weighted mean and power series methods of summability
• A theorem for the \((J,p)\) summability method
• Tauberian theorems for iterations of weighted mean summable integrals
• Ordinary convergence follows from statistical summability (C,1) in the case of slowly decreasing or oscillating sequences
• Tauberian theorems for weighted means of double sequences

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