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Box dimension of the graph of a continuous function: a necessary condition

✍ Scribed by Loredana Biacino


Book ID
107627052
Publisher
Springer Milan
Year
2009
Tongue
Italian
Weight
115 KB
Volume
58
Category
Article
ISSN
0009-725X

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## Abstract Let 1 < __s__ < 2, __Ξ»~k~__ > 0 with __Ξ»~k~__ β†’ ∞ satisfy __Ξ»__~__k__+1~/__Ξ»~k~__ β‰₯ __Ξ»__ > 1. For a class of Besicovich functions __B__(__t__) = $ \sum ^{\infty} \_{k=1} \, \lambda ^{s-2} \_{k} $ sin __Ξ»~k~t__, the present paper investigates the intrinsic relationship between box dimen