Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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. Muñoz-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

Keywords

  • Convexity
  • convex function
  • multiplicative convex

Mathematics Subject Classification

26A51, 30C45, 15A03, 46B87

Suggested citation

P. Jiménez-Rodríguez, M. E. Martínez-Gómez, G. A. Muñoz-Fernández, J. B. Seoane-Sepúlveda. “Generalizing Multiplicative Convex Functions.” Journal of Convex Analysis 28 (2021), No. 3, 939–950. https://doi.org/10.68381/jca28054

Download BibTeXPublished by Heldermann Verlag.

Published by Heldermann Verlag, 2021. Rights now held by Banach Press.