2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204035We discuss the horizon structure for Born-Infeld black holes, in the context of Einstein-Born-Infeld gravity. We show that the entropy function formalism agrees with a direct calculation of the entropy. With the entropy function formalism we also obtain the entropy when an axion-dilaton system as well as gravitational derivative corrections are included.Latex, 13 pages, 1 figure, added referencesHigh Energy Physics - Theorytext