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THE NON-DIFFERENTIABILITY OF A CLASS OFFRACTAL INTERPOLATION FUNCTIONS |
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| Authors: | Chen Shirong |
| Affiliation: | 2. Universidade Estadual Paulista (UNESP), Departamento de Física, Av.24A, 1515, Bela Vista – CEP: Rio Claro 13506-900, SP, Brazil;3. Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Campus de São Carlos, Caixa Postal 668, São Carlos 13560-970, SP, Brazil;4. Instituto de Física, Benemérita Universidad Autónoma de Puebla Apartado Postal J-48, Puebla, Apartado 72570, Mexico;5. The Abdus Salam - ICTP, Strada Costiera, 11 Trieste 34151, Italy |
| Abstract: | Hardin and Massopust[1] introduced a dass of fractal interpolation functionsand calculated thch Bouligand dimensions. This paper deals with the non-differentiabilityof these functions and shows some conditions under which they are nowhere differentiableThe basic technique here is based on the presentation the author obtains. |
| Keywords: | Fractal interpolation iterated system nowhere differentiablity Hausdorff metric |
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