## Real Analysis Exchange

### Box Dimension of the Limit of Hölder Functions

Loredana Biacino

#### 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.

#### Article information

Source
Real Anal. Exchange, Volume 37, Number 1 (2011), 117-128.

Dates
First available in Project Euclid: 30 April 2012

https://projecteuclid.org/euclid.rae/1335806766

Mathematical Reviews number (MathSciNet)
MR3016854

Zentralblatt MATH identifier
1247.26006

#### Citation

Biacino, Loredana. Box Dimension of the Limit of Hölder Functions. Real Anal. Exchange 37 (2011), no. 1, 117--128. https://projecteuclid.org/euclid.rae/1335806766

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