Representation and approximation by series of continuous functions
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Other documents of the author: Hernández, Salvador; Gassó Matoses, María Teresa; Rojas Bernilla, Esptiben
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Representation and approximation by series of continuous functionsDate
2008Publisher
Springer VerlagISSN
02365294Type
info:eu-repo/semantics/articleVersion
info:eu-repo/semantics/acceptedVersionSubject
Abstract
Let X be a topological space and let C (X) be the ring of all real-valued continuous functions defined on X. In this paper, we study the representation and approximation of continuous functions by sums of infinite ... [+]
Let X be a topological space and let C (X) be the ring of all real-valued continuous functions defined on X. In this paper, we study the representation and approximation of continuous functions by sums of infinite series. Among other results, we give sufficient conditions in order to represent or approximate every continuous function by infinite series of functions, belonging to a previously fixed subfamily of C (X), when X is either a locally compact paracompact space or a Lindlöf space [-]
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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- MAT_Articles [745]