Emma D’Aniello, Paolo De Lucia
Abstract
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Let X be a bounded measurable subset of ℝ^k . We provide a characterization of the functions f : X → ℝ approximately differentiable almost everywhere. An important tool in the proof is a Saks’ Theorem-type result.
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Let X be a bounded measurable subset of ℝ^k . We provide a characterization of the functions f : X → ℝ approximately differentiable almost everywhere. An important tool in the proof is a Saks’ Theorem-type result.
Key concepts: Differentiable function, Almost everywhere, Mathematics, Mathematical economics, Pure mathematics