Asymptotic ideals (ideals in the ring of Colombeau generalized constants with continuous parametrization)

Anatole Khelif, Dimitris Scarpalezos, Hans Vernaeve

We study the asymptotics at zero of continuous functions on (0, 1] by means of their asymptotic ideals, i.e., ideals in the ring of continuous functions on (0, 1] satisfying a poly…