Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin

We introduce a function space with some generalization of bounded variation in the sense of de la Vallée Poussin and study some of its properties, like embeddings and decompositions, among others.

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Bibliographic Details
Main Authors: René Erlín Castillo, Humberto Rafeiro, Eduard Trousselot
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/605380
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author René Erlín Castillo
Humberto Rafeiro
Eduard Trousselot
author_facet René Erlín Castillo
Humberto Rafeiro
Eduard Trousselot
author_sort René Erlín Castillo
collection DOAJ
description We introduce a function space with some generalization of bounded variation in the sense of de la Vallée Poussin and study some of its properties, like embeddings and decompositions, among others.
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institution Kabale University
issn 2314-8896
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language English
publishDate 2015-01-01
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series Journal of Function Spaces
spelling doaj-art-4a833a37ce2b4ac3820a9d2ed741f0b92025-02-03T05:44:13ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/605380605380Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée PoussinRené Erlín Castillo0Humberto Rafeiro1Eduard Trousselot2Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, ColombiaDepartamento de Matemáticas, Pontificia Universidad Javeriana, Carrera 7a No. 43-82, Bogotá, ColombiaDepartamento de Matemáticas, Universidad de Oriente, Cumaná 6101, Estado Sucre, VenezuelaWe introduce a function space with some generalization of bounded variation in the sense of de la Vallée Poussin and study some of its properties, like embeddings and decompositions, among others.http://dx.doi.org/10.1155/2015/605380
spellingShingle René Erlín Castillo
Humberto Rafeiro
Eduard Trousselot
Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin
Journal of Function Spaces
title Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin
title_full Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin
title_fullStr Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin
title_full_unstemmed Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin
title_short Space of Functions with Some Generalization of Bounded Variation in the Sense of de La Vallée Poussin
title_sort space of functions with some generalization of bounded variation in the sense of de la vallee poussin
url http://dx.doi.org/10.1155/2015/605380
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AT eduardtrousselot spaceoffunctionswithsomegeneralizationofboundedvariationinthesenseofdelavalleepoussin