Some properties of a fractal interpolation function
Hong Li
Abstract
Hong Li
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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)