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- W4300199460 abstract "Let $f$ be a generalized affine fractal interpolation function with vertical scaling function $S$. In this paper, we study $dim_B Gamma f$, the box dimension of the graph of $f$, under the assumption that $S$ is a Lipschtz function. By introducing vertical scaling matrices, we estimate the upper bound and the lower bound of oscillations of $f$. As a result, we obtain explicit formula of $dim_B Gamma f$ under certain constraint conditions." @default.
- W4300199460 created "2022-10-03" @default.
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- W4300199460 date "2022-08-08" @default.
- W4300199460 modified "2023-10-16" @default.
- W4300199460 title "Box dimension of generalized affine fractal interpolation functions" @default.
- W4300199460 doi "https://doi.org/10.48550/arxiv.2208.04126" @default.
- W4300199460 hasPublicationYear "2022" @default.
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