Abstract
A new class of functional equation in C 0 (I) is investigated. It is proved that some class of FIF satisfies the functional equation. Another functional equation is constructed. Their solutions can approximate FIF arbitrarily. And a new approximate estimate between FIF and interpolated function is given.
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References
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The project supported by Zhejiang Provincial Natural Science Foundation of China.
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Zhen, S. A class of functional equation and fractal interpolation functions. Appl. Math. Chin. Univ. 14, 90–98 (1999). https://doi.org/10.1007/s11766-999-0059-1
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DOI: https://doi.org/10.1007/s11766-999-0059-1