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A note on the representation of continuous functions by linear superpositions

✍ Scribed by Vugar E. Ismailov

Book ID
113615642
Publisher
Elsevier Science
Year
2012
Tongue
German
Weight
214 KB
Volume
30
Category
Article
ISSN
0723-0869

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Linear spaces of continuous functions of real variables closed under the superposition operation are considered. It has been proved that when such a space contains constants, linear functions, and at least one nonlinear function, it is dense in the space of all continuous functions in the topology o