Differentiable numerical functions
Bounded Variation Functions

Article REF: AF109 V1

Differentiable numerical functions
Bounded Variation Functions

Author : Jean-Charles PINOLI

Publication date: May 10, 2025 | Lire en français

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4. Differentiable numerical functions

4.1 Definitions

Definition (derivable function). A function of $ℝ^{n}$ in $ℝ^{m}$ is said to be differentiable at a point x ₀ if there exists a linear application $J : ℝ^{n} \to ℝ^{m}$ ...

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Bibliography

(1) - ALBERTI (G.), MANTEGAZZA (C.) - A Note on the Theory of SBV Functions, - Bollettino Unione Matematica Italiana Sezione B, Vol. 7, n° 11, pp. 375-382 (1997).
(2) - AMBROSIO (L.) - Metric space valued functions with bounded variation, -...

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