Title of article
Variation and Minkowski dimension of fractal interpolation surface
Author/Authors
Zhigang Feng and Matthieu Domaszewski، نويسنده , , b، نويسنده , , ?، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
13
From page
322
To page
334
Abstract
The fractal interpolation surface on the rectangular domain is discussed in this paper. We
study the properties of the oscillation and the variation of bivariate continuous functions.
Then we discuss the special properties of bivariate fractal interpolation function, and
estimate the value of its variation. Using the relation between the Minkowski dimension
of the graph of continuous function and its variation, we obtain the exact value of the
Minkowski dimension of the fractal interpolation surface
Keywords
Bivariate continuous functionVariationIterated function systemFractal interpolation surfaceMinkowski dimension
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937294
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