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Journal of Convex Analysis 28 (2021), No. 3, [final page numbers not yet available]
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, 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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