ON THE ALMOST EVERYWHERE CONTINUITY

Joël Blot (1)

1 Marin Mersenne - Pour les Mathématiques, l'Informatique et l'Interdisciplinarité

The aim of this paper is to provide characterizations of the Lebesgue-almost everywhere continuity of a function f : [a, b] → R. These characteri-zations permit to obtain necessary and sufficient conditions for the Riemann integrability of f .

Mots clés: 26A42; Riemann integrability MSC 2010: 26A15; function of one real variable; continuity

Domaines: Optimisation et contrôle [math.OC]

Joël Blot. ON THE ALMOST EVERYWHERE CONTINUITY. 2014. ⟨hal-01080968⟩