Strong and absolute almost-convergence of vector functions and related Tauberian theorems

DOI10.1016/j.jmaa.2007.01.010zbMath1121.40008OpenAlexW2087605409MaRDI QIDQ996891

Su-Hui Lin, Sen-Yen Shaw

Publication date: 19 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.010

zbMATH Keywords

\((C\(C^*_{\text{all}}\)-convergence1)\)-convergenceabsolute almost-convergenceTauberian criterion

Mathematics Subject Classification ID

Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Absolute and strong summability (40F05) Tauberian theorems (40E05)

Related Items (1)

Vector-valued almost convergence and classical properties in normed spaces

Cites Work

• Unnamed Item
• Aspects of de La Vallée Poussin's work in approximation and its influence
• Convergence theorems and Tauberian theorems for functions and sequences in Banach spaces and Banach lattices
• Convergence rates of ergodic limits and approximate solutions
• A contribution to the theory of divergent sequences
• Sequence spaces defined by a modulus
• Some Cesàro-Type Summability Spaces
• A new type of convergence
• Some General Tauberian Theorems

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