Box dimension and fractional integral of linear fractal interpolation functions
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Publication:1040863
DOI10.1016/j.jat.2008.08.012zbMath1181.41005OpenAlexW2006942013MaRDI QIDQ1040863
Huo-Jun Ruan, Kui Yao, Wei Yi Su
Publication date: 26 November 2009
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2008.08.012
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Cites Work
- The calculus of fractal interpolation functions
- Fractal functions and interpolation
- On the connection between the order of fractional calculus and the dimensions of a fractal function
- Counterexamples in parameter identification problem of the fractal interpolation functions
- On the parameter identification problem in the plane and the polar fractal interpolation functions
- Hidden Variable Fractal Interpolation Functions
- Generalized Cubic Spline Fractal Interpolation Functions
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- Unnamed Item
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