2001Unpublished venueRequires access

Some properties of a fractal interpolation function

Hong Li

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Abstract

A fractal interpolation function is obtained from a certain of mass distribution defined on Sierpinski gasket, it shows fractal structure of Sierpinski gasket. Its properties, such as Hlder continuity, are discussed .The results are useful to estimating Hausdorff measure of Sierpinski gasket.

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What this paper is about

A fractal interpolation function is obtained from a certain of mass distribution defined on Sierpinski gasket, it shows fractal structure of Sierpinski gasket. Its properties, such as Hlder continuity, are discussed .The results are useful to estimating Hausdorff measure of Sierpinski gasket.

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Available abstract

A fractal interpolation function is obtained from a certain of mass distribution defined on Sierpinski gasket, it shows fractal structure of Sierpinski gasket. Its properties, such as Hlder continuity, are discussed .The results are useful to estimating Hausdorff measure of Sierpinski gasket.

Key concepts: Sierpinski triangle, Fractal, Hausdorff measure, Mathematics, Interpolation (computer graphics), Gasket, Mathematical analysis, Measure (data warehouse)

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