Jiménez-Rodríguez, PabloMartínez-Gómez, María E.Muñoz-Fernández, Gustavo A.Seoane-Sepúlveda, Juan B.2023-06-172023-06-1720212227-739010.3390/math9091035https://hdl.handle.net/20.500.14352/7346In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct multiplicative convex functions which are discontinuous at infinitely many points.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.3390/math9091035open access517ConvexityConvex functionMultiplicative convexAnálisis matemático1202 Análisis y Análisis Funcional