Holder property of fractal interpolation function

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1992 English Publisher:Springer Science and Business Media LLCJournal:Approximation Theory and its Applications, volume 8, pages 45-57 (issn: 1000-9221,

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Authors: Sha, Zhen;

doi: 10.1007/bf02836317

Holder property of fractal interpolation function

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Abstract

Summary: The purpose of this paper is to prove a Hölder property about the fractal interpolation function \(L(x)\), \(\omega(L,\delta)=O(\delta^ \alpha)\), and an approximate estimate \(| f-L|\leq 2\{\omega(h)+{{\| f\|} \over {1-h^{2-D}}}\cdot h^{2-D}\}\), where \(D\) is a fractal dimension of \(L(x)\).

Related Organizations

Zhejiang Ocean University
China (People's Republic of)

Keywords

Hölder property, fractal interpolation function, Interpolation in approximation theory

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