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...

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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
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Martínez-Gómez, María E.
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Seoane-Sepúlveda, Juan B.
description 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.
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subjects Algebra
Convex analysis
convex function
convexity
Discontinuity
Food science
multiplicative convex
title Injectiveness and Discontinuity of Multiplicative Convex Functions
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