Approximate Differentiability Almost Everywhere

  • Paolo de Lucia

    Università degli Studi di Napoli Federico II, Italy
  • Emma D’Aniello

    Università degli Studi Federico II, Caserta, Italy


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.

Cite this article

Paolo de Lucia, Emma D’Aniello, Approximate Differentiability Almost Everywhere. Z. Anal. Anwend. 29 (2010), no. 1, pp. 107–115

DOI 10.4171/ZAA/1400