Box Dimension of the Limit of Hölder Functions

Loredana Biacino

doi:rae/1335806766

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Home > Journals > Real Anal. Exchange > Volume 37 > Issue 1 > Article

2011/2012 Box Dimension of the Limit of Hölder Functions

Loredana Biacino

Real Anal. Exchange 37(1): 117-128 (2011/2012).

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Abstract

In this note a theorem to determine the box dimension of the graph of the limit of a sequence of α-Hölder functions is established. By application of such a theorem the box dimensions of the graphs of some functions that are generalizations of Weierstrass-type functions are determined.