Journal of Convex Analysis 28 (2021), No. 3, 939--950
Copyright Heldermann Verlag 2021
Generalizing Multiplicative Convex Functions
Pablo Jiménez-Rodríguez
Dep. de Matemática Aplicada, Universidad de Valladolid, Soria, Spain
pablo.jimenez.rodriguez@uva.es
M. E. Martínez-Gómez
Dep. de Análisis Matemático y Matemática Aplicada, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Spain
mariae24@ucm.es
Gustavo A. Munoz-Fernández
Dep. de Análisis Matemático y Matemática Aplicada, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Spain
gustavo_fernandez@mat.ucm.es
Juan B. Seoane-Sepúlveda
Inst. de Matemática Interdisciplinar, Dep. de Análisis Matemático y Matemática Aplicada, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Spain
jseoane@ucm.es
This work is a natural continuation of the ongoing research started by the authors in a previous article [Describing multiplicative convex functions, J. Convex Analysis 27 (2020) 935--942] with respect to multiplicative convex functions, their continuity properties and their generalizations. Some results regarding algebraic genericity are also presented and open questions are posed.
Keywords: Convexity, convex function, multiplicative convex.
MSC: 26A51, 30C45, 15A03, 46B87.
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