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- W1985432958 abstract "In this paper, we consider the problem of the derivation of real functions defined on sets X⊂ℝ with respect to a measure μ on X such that 0<μ(X)<∞. In order to do so, we define the concept of derivation with respect to a measure μ: the μ-derivative. This concept is consistent and useful to distinguish among different increase kinds displayed by the functions defined on X. We study some properties and, when the functions are defined on a self-similar fractal with Hausdorff dimension s, a new derivation concept is considered, the Θ s -derivative, which is easier to calculate than the previous one. Finally, we study the relation between the two derivation concepts and an algorithm for the calculation of the Θ s -derivative." @default.
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- W1985432958 date "1999-06-01" @default.
- W1985432958 modified "2023-09-30" @default.
- W1985432958 title "ANALYSIS OF FUNCTIONS DEFINED ON FRACTAL SETS" @default.
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- W1985432958 doi "https://doi.org/10.1142/s0218348x99000219" @default.
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