Completeness of a Normed Space via Strong p-Cesàro Summability

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URI: http://hdl.handle.net/10498/30491

DOI: 10.2298/FIL1910013L

ISSN: 0354-5180

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Autor/es
León Saavedra, FernandoAutoridad UCA; Moreno Pulido, SoledadAutoridad UCA; Sala Pérez, AntonioAutoridad UCA
Fecha
2019
Departamento/s
Matemáticas
Fuente
Filomat 33:10 (2019), 3013–3022
Resumen
In this paper we will characterize the completeness and barrelledness of a normed space through the strong p-Cesàro summability of series. A new characterization of weakly unconditionally Cauchy series and unconditionally convergent series through the strong p-Cesàro summability is obtained.
Materias
statistical convergence; strong p-Cesàro summability; weak undonditionally Cauchy series
Colecciones
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Esta obra está bajo una Licencia Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internacional