TY - JOUR AU - Azagra Rueda, Daniel AU - Ferrera Cuesta, Juan AU - García Bravo, Miguel AU - Gómez Gil, Javier PY - 2018 DO - 10.1016/j.jat.2018.03.001 UR - https://hdl.handle.net/20.500.14352/117923 T2 - Journal of Approximation Theory AB - Let f : Rn →Rbeafunction.Assumethat for a measurable set Ω and almost every x ∈ Ω there exists a vector ξx ∈ Rn such thatLim inf h→0 f (x +h)− f(x)−⟨ξx,h⟩ / |h|2 >−∞.Then we show that f satisfies a Lusin-type property of order 2 in Ω, that is to... LA - eng M2 - 1 PB - Elsevier KW - Lusin property of order 2 KW - Proximal subdifferential KW - Fréchet subdifferential TI - Subdifferentiable functions satisfy Lusin properties of class C^{1} or C^{2} TY - journal article VL - 230 ER -