Injectiveness and Discontinuity of Multiplicative Convex Functions

In 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 disco...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics (Basel) 2021-05, Vol.9 (9), p.1035
Main Authors: Jiménez-Rodríguez, Pablo, Martínez-Gómez, María E., Muñoz-Fernández, Gustavo A., Seoane-Sepúlveda, Juan B.
Format: Article
Language:English
Subjects:
Algebra
Convex analysis
convex function
convexity
Discontinuity
Food science
multiplicative convex
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In 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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9091035