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ESSEC Working Papers,
ESSEC Research Center, ESSEC Business School

No WP1708: New results on the order of functions at infinity

Meitner Cadena (), Marie Kratz () and Edward Omey ()
Additional contact information
Meitner Cadena: Universidad de las Fuerzas Armadas, Postal: Universidad de las Fuerzas Armadas, Dept. de Ciencias Exactas, Sangolqui, Ecuador,
Marie Kratz: ESSEC Research Center, ESSEC Business School, Postal: ESSEC Research Center, BP 105, 95021 Cergy, France
Edward Omey: KU Leuven, Postal: KU Leuven @ Campus Brussels,

Abstract: Recently, new classes of positive and measurable functions, M(ρ) and M(±∞), have been defined in terms of their asymptotic behaviour at infinity, when normalized by a logarithm (Cadena et al., 2015, 2016, 2017). Looking for other suitable normalizing functions than logarithm seems quite natural. It is what is developed in this paper, studying new classes of functions of the type lim x→∞ log U (x)/H(x) = ρ

Keywords: functions at infinity

JEL-codes: C02

19 pages, June 2017

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