Title

On the relationship between the Hausdorff dimension and the integration order.

SelectedWorks Author Profiles:

Leon Hardy

Document Type

Article

Publication Date

2007

Date Issued

January 2007

Date Available

December 2011

Abstract

We use the Grűnwald definition for the integration of the function f : [0, 1] → R to construct an iterated function system on the interval [0, 1]. Then we show that this iterated function system satisfies the open set condition. Using this construction, we further show that the Hausdorff dimension is intimately related to the order of the fractional integration process for any real order q > 0.

Comments

Abstract only. Full-text article is available only through licensed access provided by the publisher. Published in Journal of Mathematics, Statistics and Allied Fields, 1(2)

Language

en_US

Publisher

Scientific Journals International

Creative Commons License

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

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