Hausdorff dimension of a fractal interpolation function

Guantie Deng

Colloquium Mathematicae (2004)

  • Volume: 99, Issue: 2, page 275-281
  • ISSN: 0010-1354

Abstract

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We obtain a lower bound for the Hausdorff dimension of the graph of a fractal interpolation function with interpolation points ( i / N , y i ) : i = 0 , 1 , . . . , N .

How to cite

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Guantie Deng. "Hausdorff dimension of a fractal interpolation function." Colloquium Mathematicae 99.2 (2004): 275-281. <http://eudml.org/doc/284530>.

@article{GuantieDeng2004,
abstract = {We obtain a lower bound for the Hausdorff dimension of the graph of a fractal interpolation function with interpolation points $\{(i/N,y_i): i = 0,1,...,N\}$.},
author = {Guantie Deng},
journal = {Colloquium Mathematicae},
keywords = {fractal; Hausdorff dimension; interpolation},
language = {eng},
number = {2},
pages = {275-281},
title = {Hausdorff dimension of a fractal interpolation function},
url = {http://eudml.org/doc/284530},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Guantie Deng
TI - Hausdorff dimension of a fractal interpolation function
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 2
SP - 275
EP - 281
AB - We obtain a lower bound for the Hausdorff dimension of the graph of a fractal interpolation function with interpolation points ${(i/N,y_i): i = 0,1,...,N}$.
LA - eng
KW - fractal; Hausdorff dimension; interpolation
UR - http://eudml.org/doc/284530
ER -

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