An alternative proof of a Tauberian theorem for Abel summability method

Using a corollary to Karamata’s main theorem [Math. Z. 32 (1930), 319-320], we prove that ifa slowly decreasing sequence ofreal numbers is Abel summable, then it is convergent in the ordinary sense.

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Autores principales:	Çanak,Ibrahim, Totur,Umit
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2016
Materias:	Abel summability slowly decreasing sequences Tauberian conditions and theorems.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300001
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spelling	oai:scielo:S0716-091720160003000012016-10-03An alternative proof of a Tauberian theorem for Abel summability methodÇanak,IbrahimTotur,Umit Abel summability slowly decreasing sequences Tauberian conditions and theorems. Using a corollary to Karamata’s main theorem [Math. Z. 32 (1930), 319-320], we prove that ifa slowly decreasing sequence ofreal numbers is Abel summable, then it is convergent in the ordinary sense.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.35 n.3 20162016-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300001en10.4067/S0716-09172016000300001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Abel summability slowly decreasing sequences Tauberian conditions and theorems.
spellingShingle	Abel summability slowly decreasing sequences Tauberian conditions and theorems. Çanak,Ibrahim Totur,Umit An alternative proof of a Tauberian theorem for Abel summability method
description	Using a corollary to Karamata’s main theorem [Math. Z. 32 (1930), 319-320], we prove that ifa slowly decreasing sequence ofreal numbers is Abel summable, then it is convergent in the ordinary sense.
author	Çanak,Ibrahim Totur,Umit
author_facet	Çanak,Ibrahim Totur,Umit
author_sort	Çanak,Ibrahim
title	An alternative proof of a Tauberian theorem for Abel summability method
title_short	An alternative proof of a Tauberian theorem for Abel summability method
title_full	An alternative proof of a Tauberian theorem for Abel summability method
title_fullStr	An alternative proof of a Tauberian theorem for Abel summability method
title_full_unstemmed	An alternative proof of a Tauberian theorem for Abel summability method
title_sort	alternative proof of a tauberian theorem for abel summability method
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2016
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300001
work_keys_str_mv	AT canakibrahim analternativeproofofatauberiantheoremforabelsummabilitymethod AT toturumit analternativeproofofatauberiantheoremforabelsummabilitymethod AT canakibrahim alternativeproofofatauberiantheoremforabelsummabilitymethod AT toturumit alternativeproofofatauberiantheoremforabelsummabilitymethod
_version_	1718439814254034944

An alternative proof of a Tauberian theorem for Abel summability method

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