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Schur Lemma and Uniform Convergence of Series through Convergence Methods

In this note, we prove a Schur-type lemma for bounded multiplier series. This result allows us to obtain a unified vision of several previous results, focusing on the underlying structure and the properties that a summability method must satisfy in order to establish a result of Schur’s lemma type.

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Autors principals: Fernando León-Saavedra, María del Pilar Romero de la Rosa, Antonio Sala
Format: Artigo
Idioma:Inglês
Publicat: MDPI AG 2020-10-01
Col·lecció:Mathematics
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Accés en línia:https://www.mdpi.com/2227-7390/8/10/1744
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